64257979968000 has 5120 divisors, whose sum is σ = 309546587750400. Its totient is φ = 12770456371200.

The previous prime is 64257979967953. The next prime is 64257979968067. The reversal of 64257979968000 is 86997975246.

64257979968000 is a `hidden beast` number, since 6 + 42 + 579 + 7 + 9 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 64257979968000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 394220735919 + ... + 394220736081.

It is an arithmetic number, because the mean of its divisors is an integer number (60458317920).

Almost surely, 2^{64257979968000} is an apocalyptic number.

64257979968000 is a gapful number since it is divisible by the number (60) 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 64257979968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154773293875200).

64257979968000 is an abundant number, since it is smaller than the sum of its proper divisors (245288607782400).

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

64257979968000 is a wasteful number, since it uses less digits than its factorization.

64257979968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 64257979968000 in words is "sixty-four trillion, two hundred fifty-seven billion, nine hundred seventy-nine million, nine hundred sixty-eight thousand".