677860056400 has 90 divisors (see below), whose sum is σ = 1643916612030. Its totient is φ = 268588327680.

The previous prime is 677860056383. The next prime is 677860056413. The reversal of 677860056400 is 4650068776.

It can be written as a sum of positive squares in 3 ways, for example, as 80596938816 + 597263117584 = 283896^2 + 772828^2 .

It is a super-2 number, since 2×677860056400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171912829 + ... + 171916771.

Almost surely, 2^677860056400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677860056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821958306015).

677860056400 is an abundant number, since it is smaller than the sum of its proper divisors (966056555630).

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

677860056400 is an equidigital number, since it uses as much as digits as its factorization.

677860056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 677860056400 in words is "six hundred seventy-seven billion, eight hundred sixty million, fifty-six thousand, four hundred".