64538901631872 has 192 divisors, whose sum is σ = 186836164444800. Its totient is φ = 21383684370432.

The previous prime is 64538901631861. The next prime is 64538901631889. The reversal of 64538901631872 is 27813610983546.

64538901631872 is a `hidden beast` number, since 6 + 4 + 538 + 9 + 0 + 16 + 3 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159929938 + ... + 160332974.

It is an arithmetic number, because the mean of its divisors is an integer number (973105023150).

It is a 1-persistent number, because it is pandigital, but 2⋅64538901631872 = 129077803263744 is not.

Almost surely, 2^{64538901631872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64538901631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93418082222400).

64538901631872 is an abundant number, since it is smaller than the sum of its proper divisors (122297262812928).

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

64538901631872 is a wasteful number, since it uses less digits than its factorization.

64538901631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403893 (or 403878 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 64538901631872 in words is "sixty-four trillion, five hundred thirty-eight billion, nine hundred one million, six hundred thirty-one thousand, eight hundred seventy-two".