56724369408 has 468 divisors, whose sum is σ = 196944141888. Its totient is φ = 15668674560.

The previous prime is 56724369407. The next prime is 56724369433. The reversal of 56724369408 is 80496342765.

56724369408 is a `hidden beast` number, since 56 + 72 + 436 + 94 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (56724369407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55995910 + ... + 55996922.

It is an arithmetic number, because the mean of its divisors is an integer number (420820816).

Almost surely, 2^56724369408 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 56724369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98472070944).

56724369408 is an abundant number, since it is smaller than the sum of its proper divisors (140219772480).

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

56724369408 is a wasteful number, since it uses less digits than its factorization.

56724369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 56724369408 in words is "fifty-six billion, seven hundred twenty-four million, three hundred sixty-nine thousand, four hundred eight".