83760633606738 has 96 divisors (see below), whose sum is σ = 201255654136320. Its totient is φ = 23118339340800.

The previous prime is 83760633606679. The next prime is 83760633606757.

83760633606738 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109079233 + ... + 109844436.

It is an arithmetic number, because the mean of its divisors is an integer number (2096413063920).

Almost surely, 2^{83760633606738} is an apocalyptic number.

83760633606738 is an abundant number, since it is smaller than the sum of its proper divisors (117495020529582).

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

83760633606738 is a wasteful number, since it uses less digits than its factorization.

83760633606738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218923744 (or 218923733 counting only the distinct ones).

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

The spelling of 83760633606738 in words is "eighty-three trillion, seven hundred sixty billion, six hundred thirty-three million, six hundred six thousand, seven hundred thirty-eight".