64388431872000 has 1520 divisors, whose sum is σ = 254378130054048. Its totient is φ = 16148909260800.

The previous prime is 64388431871993. The next prime is 64388431872139. The reversal of 64388431872000 is 27813488346.

64388431872000 is a `hidden beast` number, since 6 + 4 + 388 + 43 + 18 + 7 + 200 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45121535287 + ... + 45121536713.

Almost surely, 2^{64388431872000} is an apocalyptic number.

64388431872000 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 64388431872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127189065027024).

64388431872000 is an abundant number, since it is smaller than the sum of its proper divisors (189989698182048).

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

64388431872000 is an frugal number, since it uses more digits than its factorization.

64388431872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 64388431872000 in words is "sixty-four trillion, three hundred eighty-eight billion, four hundred thirty-one million, eight hundred seventy-two thousand".