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64360968320 = 2751118314993
BaseRepresentation
bin111011111100001101…
…100111000010000000
320011010102111221122102
4323330031213002000
52023302401441240
645322250525532
74435632130025
oct737415470200
9204112457572
1064360968320
11253280a8110
12105824368a8
1360b90a530c
143187b2b54c
151a1a52b815
hexefc367080

64360968320 has 128 divisors (see below), whose sum is σ = 167975786880. Its totient is φ = 23386521600.

The previous prime is 64360968317. The next prime is 64360968341. The reversal of 64360968320 is 2386906346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12887744 + ... + 12892736.

It is an arithmetic number, because the mean of its divisors is an integer number (1312310835).

Almost surely, 264360968320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64360968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83987893440).

64360968320 is an abundant number, since it is smaller than the sum of its proper divisors (103614818560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64360968320 is a wasteful number, since it uses less digits than its factorization.

64360968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 64360968320 in words is "sixty-four billion, three hundred sixty million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 1831 3520 3662 4993 7040 7324 9155 9986 14648 18310 19972 20141 24965 29296 36620 39944 40282 49930 54923 58592 73240 79888 80564 99860 100705 109846 117184 146480 159776 161128 199720 201410 219692 234368 274615 292960 319552 322256 399440 402820 439384 549230 585920 639104 644512 798880 805640 878768 1098460 1171840 1289024 1597760 1611280 1757536 2196920 2578048 3195520 3222560 3515072 4393840 6445120 7030144 8787680 9142183 12890240 17575360 18284366 35150720 36568732 45710915 73137464 91421830 100564013 146274928 182843660 201128026 292549856 365687320 402256052 502820065 585099712 731374640 804512104 1005640130 1170199424 1462749280 1609024208 2011280260 2925498560 3218048416 4022560520 5850997120 6436096832 8045121040 12872193664 16090242080 32180484160 64360968320