56676666816 has 1344 divisors, whose sum is σ = 230060113920. Its totient is φ = 13392138240.

The previous prime is 56676666791. The next prime is 56676666821. The reversal of 56676666816 is 61866667665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×56676666816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069371046 + ... + 1069371098.

It is an arithmetic number, because the mean of its divisors is an integer number (171175680).

Almost surely, 2^56676666816 is an apocalyptic number.

56676666816 is a gapful number since it is divisible by the number (56) 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 56676666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115030056960).

56676666816 is an abundant number, since it is smaller than the sum of its proper divisors (173383447104).

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

56676666816 is a wasteful number, since it uses less digits than its factorization.

56676666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 56676666816 in words is "fifty-six billion, six hundred seventy-six million, six hundred sixty-six thousand, eight hundred sixteen".