76661433416667 has 96 divisors (see below), whose sum is σ = 117776296512000. Its totient is φ = 44265117191680.

The previous prime is 76661433416657. The next prime is 76661433416693.

76661433416667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76661433416667 - 2¹⁶ = 76661433351131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76661433416598 and 76661433416607.

It is not an unprimeable number, because it can be changed into a prime (76661433416657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240688084 + ... + 241006382.

It is an arithmetic number, because the mean of its divisors is an integer number (1226836422000).

Almost surely, 2^{76661433416667} is an apocalyptic number.

76661433416667 is a deficient number, since it is larger than the sum of its proper divisors (41114863095333).

76661433416667 is a wasteful number, since it uses less digits than its factorization.

76661433416667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318657 (or 318646 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 66.

The spelling of 76661433416667 in words is "seventy-six trillion, six hundred sixty-one billion, four hundred thirty-three million, four hundred sixteen thousand, six hundred sixty-seven".