56676034800 has 1920 divisors, whose sum is σ = 281639116800. Its totient is φ = 10450944000.

The previous prime is 56676034777. The next prime is 56676034813. The reversal of 56676034800 is 843067665.

56676034800 is a `hidden beast` number, since 56 + 67 + 60 + 3 + 480 + 0 = 666.

It is a super-2 number, since 2×56676034800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 268606695 + ... + 268606905.

It is an arithmetic number, because the mean of its divisors is an integer number (146687040).

Almost surely, 2^56676034800 is an apocalyptic number.

56676034800 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 56676034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140819558400).

56676034800 is an abundant number, since it is smaller than the sum of its proper divisors (224963082000).

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

56676034800 is a wasteful number, since it uses less digits than its factorization.

56676034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56676034800 in words is "fifty-six billion, six hundred seventy-six million, thirty-four thousand, eight hundred".