56648079264 has 288 divisors, whose sum is σ = 187026900480. Its totient is φ = 14664900096.

The previous prime is 56648079263. The next prime is 56648079281. The reversal of 56648079264 is 46297084665.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (56648079263) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6750079 + ... + 6758465.

It is an arithmetic number, because the mean of its divisors is an integer number (649398960).

Almost surely, 2^56648079264 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 56648079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93513450240).

56648079264 is an abundant number, since it is smaller than the sum of its proper divisors (130378821216).

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

56648079264 is a wasteful number, since it uses less digits than its factorization.

56648079264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 56648079264 in words is "fifty-six billion, six hundred forty-eight million, seventy-nine thousand, two hundred sixty-four".