56784314400 has 576 divisors, whose sum is σ = 210701264256. Its totient is φ = 13160448000.

The previous prime is 56784314341. The next prime is 56784314423. The reversal of 56784314400 is 441348765.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59584324 + ... + 59585276.

It is an arithmetic number, because the mean of its divisors is an integer number (365800806).

Almost surely, 2^56784314400 is an apocalyptic number.

56784314400 is a gapful number since it is divisible by the number (50) 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 56784314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105350632128).

56784314400 is an abundant number, since it is smaller than the sum of its proper divisors (153916949856).

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

56784314400 is a wasteful number, since it uses less digits than its factorization.

56784314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 56784314400 in words is "fifty-six billion, seven hundred eighty-four million, three hundred fourteen thousand, four hundred".