864664197696 has 672 divisors, whose sum is σ = 2965618656000. Its totient is φ = 238300102656.

The previous prime is 864664197629. The next prime is 864664197703. The reversal of 864664197696 is 696791466468.

864664197696 is a `hidden beast` number, since 8 + 6 + 466 + 4 + 1 + 9 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 291229300 + ... + 291232268.

It is an arithmetic number, because the mean of its divisors is an integer number (4413123000).

Almost surely, 2^864664197696 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 864664197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482809328000).

864664197696 is an abundant number, since it is smaller than the sum of its proper divisors (2100954458304).

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

864664197696 is a wasteful number, since it uses less digits than its factorization.

864664197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3118 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 864664197696 in words is "eight hundred sixty-four billion, six hundred sixty-four million, one hundred ninety-seven thousand, six hundred ninety-six".