56277946368 has 416 divisors, whose sum is σ = 192285363200. Its totient is φ = 15933210624.

The previous prime is 56277946357. The next prime is 56277946379. The reversal of 56277946368 is 86364977265.

56277946368 is a `hidden beast` number, since 562 + 7 + 7 + 9 + 4 + 6 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (56277946357) and next prime (56277946379).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 107605755 + ... + 107606277.

Almost surely, 2^56277946368 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 56277946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96142681600).

56277946368 is an abundant number, since it is smaller than the sum of its proper divisors (136007416832).

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

56277946368 is a wasteful number, since it uses less digits than its factorization.

56277946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 674 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 56277946368 in words is "fifty-six billion, two hundred seventy-seven million, nine hundred forty-six thousand, three hundred sixty-eight".