86767476768 has 108 divisors (see below), whose sum is σ = 287029958670. Its totient is φ = 24790703616.

The previous prime is 86767476767. The next prime is 86767476779.

86767476768 is a `hidden beast` number, since 86 + 7 + 6 + 7 + 476 + 76 + 8 = 666.

86767476768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 71039307024 + 15728169744 = 266532^2 + 125412^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86767476696 and 86767476705.

It is not an unprimeable number, because it can be changed into a prime (86767476767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3060133 + ... + 3088356.

Almost surely, 2^86767476768 is an apocalyptic number.

It is an amenable number.

86767476768 is an abundant number, since it is smaller than the sum of its proper divisors (200262481902).

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

86767476768 is a wasteful number, since it uses less digits than its factorization.

86767476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148519 (or 6148501 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 86767476768 in words is "eighty-six billion, seven hundred sixty-seven million, four hundred seventy-six thousand, seven hundred sixty-eight".