922080075840 has 2240 divisors, whose sum is σ = 4359133532160. Its totient is φ = 179338199040.

The previous prime is 922080075821. The next prime is 922080075853. The reversal of 922080075840 is 48570080229.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×922080075840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2432928771 + ... + 2432929149.

Almost surely, 2^922080075840 is an apocalyptic number.

922080075840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 922080075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179566766080).

922080075840 is an abundant number, since it is smaller than the sum of its proper divisors (3437053456320).

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

922080075840 is a wasteful number, since it uses less digits than its factorization.

922080075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 922080075840 in words is "nine hundred twenty-two billion, eighty million, seventy-five thousand, eight hundred forty".