54638364672 has 240 divisors, whose sum is σ = 165534969600. Its totient is φ = 17952399360.

The previous prime is 54638364653. The next prime is 54638364707. The reversal of 54638364672 is 27646383645.

54638364672 is a `hidden beast` number, since 546 + 3 + 8 + 36 + 4 + 67 + 2 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 11775729 + ... + 11780367.

It is an arithmetic number, because the mean of its divisors is an integer number (689729040).

Almost surely, 2^54638364672 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 54638364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82767484800).

54638364672 is an abundant number, since it is smaller than the sum of its proper divisors (110896604928).

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

54638364672 is an equidigital number, since it uses as much as digits as its factorization.

54638364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4715 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 54638364672 in words is "fifty-four billion, six hundred thirty-eight million, three hundred sixty-four thousand, six hundred seventy-two".