56767827600 has 675 divisors, whose sum is σ = 228567093209. Its totient is φ = 13037587200.

The previous prime is 56767827583. The next prime is 56767827617. The reversal of 56767827600 is 672876765.

The square root of 56767827600 is 238260.

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

56767827600 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 7 + 8 + 27 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56767827583) and next prime (56767827617).

It can be written as a sum of positive squares in only one way, i.e., 20436417936 + 36331409664 = 142956^2 + 190608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2987780391 + ... + 2987780409.

Almost surely, 2^56767827600 is an apocalyptic number.

56767827600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56767827600 is the 238260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56767827600

56767827600 is an abundant number, since it is smaller than the sum of its proper divisors (171799265609).

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

56767827600 is a wasteful number, since it uses less digits than its factorization.

56767827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 56767827600 in words is "fifty-six billion, seven hundred sixty-seven million, eight hundred twenty-seven thousand, six hundred".