64444875264000 has 5616 divisors, whose sum is σ = 315913553137728. Its totient is φ = 12959170560000.

The previous prime is 64444875263953. The next prime is 64444875264013. The reversal of 64444875264000 is 46257844446.

64444875264000 is a `hidden beast` number, since 64 + 44 + 487 + 5 + 2 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2078866943985 + ... + 2078866944015.

It is an arithmetic number, because the mean of its divisors is an integer number (56252413308).

Almost surely, 2^{64444875264000} is an apocalyptic number.

64444875264000 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 64444875264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157956776568864).

64444875264000 is an abundant number, since it is smaller than the sum of its proper divisors (251468677873728).

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

64444875264000 is an equidigital number, since it uses as much as digits as its factorization.

64444875264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 64444875264000 in words is "sixty-four trillion, four hundred forty-four billion, eight hundred seventy-five million, two hundred sixty-four thousand".