107578163664 has 80 divisors (see below), whose sum is σ = 318750154240. Its totient is φ = 34702629120.

The previous prime is 107578163663. The next prime is 107578163677. The reversal of 107578163664 is 466361875701.

107578163664 is a `hidden beast` number, since 1 + 0 + 7 + 578 + 1 + 6 + 3 + 6 + 64 = 666.

It is a super-2 number, since 2×107578163664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107578163664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107578163663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003117 + ... + 4029900.

It is an arithmetic number, because the mean of its divisors is an integer number (3984376928).

Almost surely, 2^107578163664 is an apocalyptic number.

It is an amenable number.

107578163664 is an abundant number, since it is smaller than the sum of its proper divisors (211171990576).

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

107578163664 is a wasteful number, since it uses less digits than its factorization.

107578163664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033065 (or 8033053 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 107578163664 in words is "one hundred seven billion, five hundred seventy-eight million, one hundred sixty-three thousand, six hundred sixty-four".