83766677666738 has 32 divisors (see below), whose sum is σ = 137997319377600. Its totient is φ = 37818953560000.

The previous prime is 83766677666729. The next prime is 83766677666813.

83766677666738 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×83766677666738³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83766677666738.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101110388 + ... + 101935488.

It is an arithmetic number, because the mean of its divisors is an integer number (4312416230550).

Almost surely, 2^{83766677666738} is an apocalyptic number.

83766677666738 is a deficient number, since it is larger than the sum of its proper divisors (54230641710862).

83766677666738 is a wasteful number, since it uses less digits than its factorization.

83766677666738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856234.

The product of its digits is 64524128256, while the sum is 86.

The spelling of 83766677666738 in words is "eighty-three trillion, seven hundred sixty-six billion, six hundred seventy-seven million, six hundred sixty-six thousand, seven hundred thirty-eight".