56782024704 has 416 divisors, whose sum is σ = 180385478400. Its totient is φ = 17597399040.

The previous prime is 56782024693. The next prime is 56782024711. The reversal of 56782024704 is 40742028765.

It is a happy number.

56782024704 is a `hidden beast` number, since 567 + 82 + 0 + 2 + 4 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56782024704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128175907 + ... + 128176349.

Almost surely, 2^56782024704 is an apocalyptic number.

56782024704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56782024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90192739200).

56782024704 is an abundant number, since it is smaller than the sum of its proper divisors (123603453696).

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

56782024704 is a wasteful number, since it uses less digits than its factorization.

56782024704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 56782024704 in words is "fifty-six billion, seven hundred eighty-two million, twenty-four thousand, seven hundred four".