54640752768 has 256 divisors, whose sum is σ = 190252032000. Its totient is φ = 15107834880.

The previous prime is 54640752743. The next prime is 54640752797. The reversal of 54640752768 is 86725704645.

It is a happy number.

54640752768 is a `hidden beast` number, since 54 + 6 + 4 + 0 + 7 + 527 + 68 = 666.

It is a super-2 number, since 2×54640752768² (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 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 31 ways as a sum of consecutive naturals, for example, 713523 + ... + 786381.

It is an arithmetic number, because the mean of its divisors is an integer number (743172000).

Almost surely, 2^54640752768 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 54640752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95126016000).

54640752768 is an abundant number, since it is smaller than the sum of its proper divisors (135611279232).

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

54640752768 is a wasteful number, since it uses less digits than its factorization.

54640752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72920 (or 72902 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 54640752768 in words is "fifty-four billion, six hundred forty million, seven hundred fifty-two thousand, seven hundred sixty-eight".