3672416473968 has 80 divisors (see below), whose sum is σ = 10425081609216. Its totient is φ = 1104730437120.

The previous prime is 3672416473897. The next prime is 3672416473987. The reversal of 3672416473968 is 8693746142763.

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

It is a junction number, because it is equal to n+sod(n) for n = 3672416473899 and 3672416473908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25312096 + ... + 25456767.

Almost surely, 2^{3672416473968} is an apocalyptic number.

It is an amenable number.

3672416473968 is an abundant number, since it is smaller than the sum of its proper divisors (6752665135248).

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

3672416473968 is a wasteful number, since it uses less digits than its factorization.

3672416473968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50769022 (or 50769016 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 66.

The spelling of 3672416473968 in words is "three trillion, six hundred seventy-two billion, four hundred sixteen million, four hundred seventy-three thousand, nine hundred sixty-eight".