864047636928 has 672 divisors, whose sum is σ = 3094787824128. Its totient is φ = 224855654400.

The previous prime is 864047636869. The next prime is 864047636953. The reversal of 864047636928 is 829636740468.

864047636928 is a `hidden beast` number, since 8 + 6 + 40 + 476 + 36 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368148651 + ... + 368150997.

It is an arithmetic number, because the mean of its divisors is an integer number (4605339024).

Almost surely, 2^864047636928 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 864047636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547393912064).

864047636928 is an abundant number, since it is smaller than the sum of its proper divisors (2230740187200).

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

864047636928 is a wasteful number, since it uses less digits than its factorization.

864047636928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 864047636928 in words is "eight hundred sixty-four billion, forty-seven million, six hundred thirty-six thousand, nine hundred twenty-eight".