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668607502464 = 273311127913751
BaseRepresentation
bin10011011101011000001…
…11001101100010000000
32100220210101222021212000
421232230013031202000
541423302010034324
61231053135104000
766206501000046
oct11565407154200
92326711867760
10668607502464
11238611560660
12a96b7372000
134b084752205
1424509d7c396
15125d30bb9c9
hex9bac1cd880

668607502464 has 256 divisors, whose sum is σ = 2154553344000. Its totient is φ = 202435200000.

The previous prime is 668607502457. The next prime is 668607502471. The reversal of 668607502464 is 464205706866.

668607502464 is a `hidden beast` number, since 6 + 6 + 8 + 607 + 5 + 0 + 24 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (668607502457) and next prime (668607502471).

It is a super-2 number, since 2×6686075024642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 668607502464.

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 31 ways as a sum of consecutive naturals, for example, 48615589 + ... + 48629339.

It is an arithmetic number, because the mean of its divisors is an integer number (8416224000).

Almost surely, 2668607502464 is an apocalyptic number.

668607502464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668607502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077276672000).

668607502464 is an abundant number, since it is smaller than the sum of its proper divisors (1485945841536).

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

668607502464 is a wasteful number, since it uses less digits than its factorization.

668607502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 668607502464 in words is "six hundred sixty-eight billion, six hundred seven million, five hundred two thousand, four hundred sixty-four".