768100412160 has 108 divisors (see below), whose sum is σ = 2657547455472. Its totient is φ = 204826773504.

The previous prime is 768100412153. The next prime is 768100412173. The reversal of 768100412160 is 61214001867.

It is a happy number.

768100412160 is a `hidden beast` number, since 7 + 6 + 81 + 0 + 0 + 412 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33326172 + ... + 33349211.

It is an arithmetic number, because the mean of its divisors is an integer number (24606920884).

Almost surely, 2^768100412160 is an apocalyptic number.

It is an amenable number.

768100412160 is an abundant number, since it is smaller than the sum of its proper divisors (1889447043312).

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

768100412160 is a wasteful number, since it uses less digits than its factorization.

768100412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66675410 (or 66675393 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 768100412160 in words is "seven hundred sixty-eight billion, one hundred million, four hundred twelve thousand, one hundred sixty".