667962165103920 has 120 divisors (see below), whose sum is σ = 2281260614864400. Its totient is φ = 175104205982208.

The previous prime is 667962165103903. The next prime is 667962165104071. The reversal of 667962165103920 is 29301561269766.

667962165103920 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 6 + 21 + 6 + 510 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7862035735 + ... + 7862120694.

It is an arithmetic number, because the mean of its divisors is an integer number (19010505123870).

Almost surely, 2^{667962165103920} is an apocalyptic number.

667962165103920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667962165103920 is an abundant number, since it is smaller than the sum of its proper divisors (1613298449760480).

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

667962165103920 is a wasteful number, since it uses less digits than its factorization.

667962165103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724156507 (or 15724156498 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 667962165103920 in words is "six hundred sixty-seven trillion, nine hundred sixty-two billion, one hundred sixty-five million, one hundred three thousand, nine hundred twenty".