64006531656000 has 1792 divisors, whose sum is σ = 234226758205440. Its totient is φ = 15344656588800.

The previous prime is 64006531655929. The next prime is 64006531656029. The reversal of 64006531656000 is 65613560046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109040087707 + ... + 109040088293.

It is an arithmetic number, because the mean of its divisors is an integer number (130706896320).

Almost surely, 2^{64006531656000} is an apocalyptic number.

64006531656000 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 64006531656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117113379102720).

64006531656000 is an abundant number, since it is smaller than the sum of its proper divisors (170220226549440).

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

64006531656000 is a wasteful number, since it uses less digits than its factorization.

64006531656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 64006531656000 in words is "sixty-four trillion, six billion, five hundred thirty-one million, six hundred fifty-six thousand".