56672439642 has 256 divisors, whose sum is σ = 158993694720. Its totient is φ = 14565567744.

The previous prime is 56672439631. The next prime is 56672439647. The reversal of 56672439642 is 24693427665.

56672439642 is a `hidden beast` number, since 566 + 7 + 2 + 4 + 39 + 6 + 42 = 666.

It is a super-2 number, since 2×56672439642² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56672439647) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 43493163 + ... + 43494465.

It is an arithmetic number, because the mean of its divisors is an integer number (621069120).

Almost surely, 2^56672439642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56672439642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79496847360).

56672439642 is an abundant number, since it is smaller than the sum of its proper divisors (102321255078).

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

56672439642 is a wasteful number, since it uses less digits than its factorization.

56672439642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1548 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 56672439642 in words is "fifty-six billion, six hundred seventy-two million, four hundred thirty-nine thousand, six hundred forty-two".