676405997568 has 1248 divisors, whose sum is σ = 2499227435520. Its totient is φ = 182097248256.

The previous prime is 676405997539. The next prime is 676405997587. The reversal of 676405997568 is 865799504676.

676405997568 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 0 + 59 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×676405997568² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 676405997496 and 676405997505.

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 95 ways as a sum of consecutive naturals, for example, 10095611871 + ... + 10095611937.

Almost surely, 2^676405997568 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 676405997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249613717760).

676405997568 is an abundant number, since it is smaller than the sum of its proper divisors (1822821437952).

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

676405997568 is an frugal number, since it uses more digits than its factorization.

676405997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 676405997568 in words is "six hundred seventy-six billion, four hundred five million, nine hundred ninety-seven thousand, five hundred sixty-eight".