56784061670400 has 495 divisors, whose sum is σ = 210304892282331. Its totient is φ = 15139522805760.

The previous prime is 56784061670363. The next prime is 56784061670419. The reversal of 56784061670400 is 407616048765.

The square root of 56784061670400 is 7535520.

It is a perfect power (a square), and thus also a powerful number.

56784061670400 is a `hidden beast` number, since 5 + 6 + 78 + 4 + 0 + 6 + 167 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10728402379776 + 46055659290624 = 3275424^2 + 6786432^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10851146184 + ... + 10851151416.

Almost surely, 2^{56784061670400} is an apocalyptic number.

56784061670400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56784061670400 is the 7535520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56784061670400

56784061670400 is an abundant number, since it is smaller than the sum of its proper divisors (153520830611931).

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

56784061670400 is an frugal number, since it uses more digits than its factorization.

56784061670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 56784061670400 in words is "fifty-six trillion, seven hundred eighty-four billion, sixty-one million, six hundred seventy thousand, four hundred".