64256834980800 has 6048 divisors, whose sum is σ = 328479625244160. Its totient is φ = 11737571328000.

The previous prime is 64256834980777. The next prime is 64256834980801. The reversal of 64256834980800 is 808943865246.

64256834980800 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 68 + 3 + 498 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64256834980801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 905025844765 + ... + 905025844835.

Almost surely, 2^{64256834980800} is an apocalyptic number.

64256834980800 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 64256834980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239812622080).

64256834980800 is an abundant number, since it is smaller than the sum of its proper divisors (264222790263360).

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

64256834980800 is a wasteful number, since it uses less digits than its factorization.

64256834980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 64256834980800 in words is "sixty-four trillion, two hundred fifty-six billion, eight hundred thirty-four million, nine hundred eighty thousand, eight hundred".