942879242672640 has 5120 divisors, whose sum is σ = 4421321017344000. Its totient is φ = 187238109413376.

The previous prime is 942879242672629. The next prime is 942879242672671. The reversal of 942879242672640 is 46276242978249.

942879242672640 is a `hidden beast` number, since 9 + 4 + 2 + 8 + 7 + 92 + 426 + 72 + 6 + 40 = 666.

It is a super-2 number, since 2×942879242672640² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2487808027971 + ... + 2487808028349.

It is an arithmetic number, because the mean of its divisors is an integer number (863539261200).

Almost surely, 2^{942879242672640} is an apocalyptic number.

942879242672640 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 942879242672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210660508672000).

942879242672640 is an abundant number, since it is smaller than the sum of its proper divisors (3478441774671360).

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

942879242672640 is a wasteful number, since it uses less digits than its factorization.

942879242672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 942879242672640 in words is "nine hundred forty-two trillion, eight hundred seventy-nine billion, two hundred forty-two million, six hundred seventy-two thousand, six hundred forty".