64885941974400 has 768 divisors, whose sum is σ = 232484486707200. Its totient is φ = 15862127616000.

The previous prime is 64885941974311. The next prime is 64885941974489. The reversal of 64885941974400 is 447914958846.

It is an interprime number because it is at equal distance from previous prime (64885941974311) and next prime (64885941974489).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433872430 + ... + 5433884370.

It is an arithmetic number, because the mean of its divisors is an integer number (302714175400).

Almost surely, 2^{64885941974400} is an apocalyptic number.

64885941974400 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 64885941974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242243353600).

64885941974400 is an abundant number, since it is smaller than the sum of its proper divisors (167598544732800).

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

64885941974400 is a wasteful number, since it uses less digits than its factorization.

64885941974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 64885941974400 in words is "sixty-four trillion, eight hundred eighty-five billion, nine hundred forty-one million, nine hundred seventy-four thousand, four hundred".