56724738048 has 546 divisors, whose sum is σ = 188133361682. Its totient is φ = 17079828480.

The previous prime is 56724738041. The next prime is 56724738053. The reversal of 56724738048 is 84083742765.

56724738048 is a `hidden beast` number, since 56 + 7 + 2 + 473 + 80 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43717791744 + 13006946304 = 209088^2 + 114048^2 .

It is a super-2 number, since 2×56724738048² (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 a junction number, because it is equal to n+sod(n) for n = 56724737985 and 56724738003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56724738041) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 361303986 + ... + 361304142.

Almost surely, 2^56724738048 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 56724738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94066680841).

56724738048 is an abundant number, since it is smaller than the sum of its proper divisors (131408623634).

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

56724738048 is an equidigital number, since it uses as much as digits as its factorization.

56724738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 56724738048 in words is "fifty-six billion, seven hundred twenty-four million, seven hundred thirty-eight thousand, forty-eight".