864479397600 has 864 divisors, whose sum is σ = 3881299705920. Its totient is φ = 176102277120.

The previous prime is 864479397589. The next prime is 864479397619. The reversal of 864479397600 is 6793974468.

864479397600 is a `hidden beast` number, since 8 + 64 + 479 + 39 + 76 + 0 + 0 = 666.

864479397600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 18978052 + ... + 19023548.

It is an arithmetic number, because the mean of its divisors is an integer number (4492245030).

Almost surely, 2^864479397600 is an apocalyptic number.

864479397600 is a gapful number since it is divisible by the number (80) 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 864479397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940649852960).

864479397600 is an abundant number, since it is smaller than the sum of its proper divisors (3016820308320).

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

864479397600 is a wasteful number, since it uses less digits than its factorization.

864479397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45572 (or 45556 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 864479397600 in words is "eight hundred sixty-four billion, four hundred seventy-nine million, three hundred ninety-seven thousand, six hundred".