54624634879968 has 576 divisors, whose sum is σ = 174699961228800. Its totient is φ = 16568710963200.

The previous prime is 54624634879963. The next prime is 54624634880051. The reversal of 54624634879968 is 86997843642645.

54624634879968 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 46 + 3 + 487 + 9 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54624634879963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126698288 + ... + 1126746768.

It is an arithmetic number, because the mean of its divisors is an integer number (303298543800).

Almost surely, 2^{54624634879968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54624634879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87349980614400).

54624634879968 is an abundant number, since it is smaller than the sum of its proper divisors (120075326348832).

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

54624634879968 is a wasteful number, since it uses less digits than its factorization.

54624634879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48644 (or 48599 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 81.

The spelling of 54624634879968 in words is "fifty-four trillion, six hundred twenty-four billion, six hundred thirty-four million, eight hundred seventy-nine thousand, nine hundred sixty-eight".