64068873523200 has 3120 divisors, whose sum is σ = 302269508513280. Its totient is φ = 13047237181440.

The previous prime is 64068873523183. The next prime is 64068873523219. The reversal of 64068873523200 is 232537886046.

64068873523200 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 8 + 87 + 352 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21888920137 + ... + 21888923063.

Almost surely, 2^{64068873523200} is an apocalyptic number.

64068873523200 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 64068873523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151134754256640).

64068873523200 is an abundant number, since it is smaller than the sum of its proper divisors (238200634990080).

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

64068873523200 is a wasteful number, since it uses less digits than its factorization.

64068873523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 2986 counting only the distinct ones).

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

The spelling of 64068873523200 in words is "sixty-four trillion, sixty-eight billion, eight hundred seventy-three million, five hundred twenty-three thousand, two hundred".