86746064768 has 32 divisors (see below), whose sum is σ = 188524831320. Its totient is φ = 39430028800.

The previous prime is 86746064767. The next prime is 86746064803.

86746064768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 86746064768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86746064767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30803303 + ... + 30806118.

Almost surely, 2^86746064768 is an apocalyptic number.

86746064768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86746064768 is an abundant number, since it is smaller than the sum of its proper divisors (101778766552).

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

86746064768 is a wasteful number, since it uses less digits than its factorization.

86746064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61609446 (or 61609434 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 62.

The spelling of 86746064768 in words is "eighty-six billion, seven hundred forty-six million, sixty-four thousand, seven hundred sixty-eight".