768364787463867 has 48 divisors (see below), whose sum is σ = 1233725807059200. Its totient is φ = 456872714738880.

The previous prime is 768364787463781. The next prime is 768364787463881.

768364787463867 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 6 + 4 + 7 + 87 + 463 + 8 + 67 = 666.

768364787463867 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-768364787463867 is a prime.

It is a super-2 number, since 2×768364787463867² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768364787463167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127824192 + ... + 133700237.

It is an arithmetic number, because the mean of its divisors is an integer number (25702620980400).

Almost surely, 2^{768364787463867} is an apocalyptic number.

768364787463867 is a deficient number, since it is larger than the sum of its proper divisors (465361019595333).

768364787463867 is a wasteful number, since it uses less digits than its factorization.

768364787463867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261525008 (or 261525005 counting only the distinct ones).

The product of its digits is 229419122688, while the sum is 90.

The spelling of 768364787463867 in words is "seven hundred sixty-eight trillion, three hundred sixty-four billion, seven hundred eighty-seven million, four hundred sixty-three thousand, eight hundred sixty-seven".