56784369600 has 840 divisors, whose sum is σ = 243249529248. Its totient is φ = 12723609600.

The previous prime is 56784369539. The next prime is 56784369611. The reversal of 56784369600 is 696348765.

56784369600 is a `hidden beast` number, since 56 + 78 + 436 + 96 + 0 + 0 = 666.

56784369600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48081010 + ... + 48082190.

Almost surely, 2^56784369600 is an apocalyptic number.

56784369600 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 56784369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121624764624).

56784369600 is an abundant number, since it is smaller than the sum of its proper divisors (186465159648).

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

56784369600 is a wasteful number, since it uses less digits than its factorization.

56784369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 56784369600 in words is "fifty-six billion, seven hundred eighty-four million, three hundred sixty-nine thousand, six hundred".