86746464768 has 80 divisors (see below), whose sum is σ = 233258240160. Its totient is φ = 28645195776.

The previous prime is 86746464737. The next prime is 86746464781.

86746464768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86746464699 and 86746464708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99553 + ... + 428256.

It is an arithmetic number, because the mean of its divisors is an integer number (2915728002).

Almost surely, 2^86746464768 is an apocalyptic number.

It is an amenable number.

86746464768 is an abundant number, since it is smaller than the sum of its proper divisors (146511775392).

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

86746464768 is a wasteful number, since it uses less digits than its factorization.

86746464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527937 (or 527921 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 86746464768 in words is "eighty-six billion, seven hundred forty-six million, four hundred sixty-four thousand, seven hundred sixty-eight".