56064036600 has 672 divisors, whose sum is σ = 229686080400. Its totient is φ = 12541132800.

The previous prime is 56064036599. The next prime is 56064036629. The reversal of 56064036600 is 663046065.

56064036600 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 40 + 3 + 6 + 600 = 666.

It is a super-2 number, since 2×56064036600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20848056 + ... + 20850744.

Almost surely, 2^56064036600 is an apocalyptic number.

56064036600 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 56064036600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114843040200).

56064036600 is an abundant number, since it is smaller than the sum of its proper divisors (173622043800).

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

56064036600 is a wasteful number, since it uses less digits than its factorization.

56064036600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 56064036600 in words is "fifty-six billion, sixty-four million, thirty-six thousand, six hundred".