54624868368 has 640 divisors, whose sum is σ = 184369152000. Its totient is φ = 13869273600.

The previous prime is 54624868357. The next prime is 54624868429. The reversal of 54624868368 is 86386842645.

Its product of digits (53084160) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416983663 + ... + 416983793.

It is an arithmetic number, because the mean of its divisors is an integer number (288076800).

Almost surely, 2^54624868368 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 54624868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92184576000).

54624868368 is an abundant number, since it is smaller than the sum of its proper divisors (129744283632).

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

54624868368 is a wasteful number, since it uses less digits than its factorization.

54624868368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 60.

The spelling of 54624868368 in words is "fifty-four billion, six hundred twenty-four million, eight hundred sixty-eight thousand, three hundred sixty-eight".