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64368546640 = 24553137311057
BaseRepresentation
bin111011111100101010…
…100001001101010000
320011010221202222010221
4323330222201031100
52023311321443030
645323121202424
74436053422166
oct737452411520
9204127688127
1064368546640
1125331403892
1210584a90414
1360ba829828
143188b41236
151a1b026e7a
hexefcaa1350

64368546640 has 80 divisors (see below), whose sum is σ = 152605442448. Its totient is φ = 25240936448.

The previous prime is 64368546623. The next prime is 64368546667. The reversal of 64368546640 is 4664586346.

64368546640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2882401344 + 61486145296 = 53688^2 + 247964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5815992 + ... + 5827048.

Almost surely, 264368546640 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 64368546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76302721224).

64368546640 is an abundant number, since it is smaller than the sum of its proper divisors (88236895808).

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

64368546640 is a wasteful number, since it uses less digits than its factorization.

64368546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 64368546640 in words is "sixty-four billion, three hundred sixty-eight million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1373 2120 2746 4240 5492 6865 10984 11057 13730 21968 22114 27460 44228 54920 55285 72769 88456 109840 110570 145538 176912 221140 291076 363845 442280 582152 586021 727690 884560 1164304 1172042 1455380 2344084 2910760 2930105 4688168 5821520 5860210 9376336 11720420 15181261 23440840 30362522 46881680 60725044 75906305 121450088 151812610 242900176 303625220 607250440 804606833 1214500880 1609213666 3218427332 4023034165 6436854664 8046068330 12873709328 16092136660 32184273320 64368546640