676390435156800 has 4032 divisors, whose sum is σ = 3280533860966400. Its totient is φ = 132314325811200.

The previous prime is 676390435156771. The next prime is 676390435156817. The reversal of 676390435156800 is 8651534093676.

676390435156800 is a `hidden beast` number, since 6 + 7 + 6 + 39 + 0 + 4 + 3 + 515 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 45637293390 + ... + 45637308210.

Almost surely, 2^{676390435156800} is an apocalyptic number.

676390435156800 is a gapful number since it is divisible by the number (60) 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 676390435156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640266930483200).

676390435156800 is an abundant number, since it is smaller than the sum of its proper divisors (2604143425809600).

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

676390435156800 is a wasteful number, since it uses less digits than its factorization.

676390435156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 676390435156800 in words is "six hundred seventy-six trillion, three hundred ninety billion, four hundred thirty-five million, one hundred fifty-six thousand, eight hundred".