920322132745680 has 240 divisors, whose sum is σ = 3618437264193024. Its totient is φ = 205228628858880.

The previous prime is 920322132745679. The next prime is 920322132745699. The reversal of 920322132745680 is 86547231223029.

920322132745680 is a `hidden beast` number, since 9 + 2 + 0 + 3 + 2 + 2 + 1 + 3 + 2 + 74 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent 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, 2226666504 + ... + 2227079783.

It is a 1-persistent number, because it is pandigital, but 2⋅920322132745680 = 1840644265491360 is not.

Almost surely, 2^{920322132745680} is an apocalyptic number.

920322132745680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

920322132745680 is an abundant number, since it is smaller than the sum of its proper divisors (2698115131447344).

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

920322132745680 is a wasteful number, since it uses less digits than its factorization.

920322132745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453746354 (or 4453746345 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 920322132745680 in words is "nine hundred twenty trillion, three hundred twenty-two billion, one hundred thirty-two million, seven hundred forty-five thousand, six hundred eighty".