676678464 has 504 divisors, whose sum is σ = 2599862720. Its totient is φ = 164229120.

The previous prime is 676678451. The next prime is 676678501. The reversal of 676678464 is 464876676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 676678464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9269532 + ... + 9269604.

Almost surely, 2^676678464 is an apocalyptic number.

676678464 is a gapful number since it is divisible by the number (64) 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 676678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299931360).

676678464 is an abundant number, since it is smaller than the sum of its proper divisors (1923184256).

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

676678464 is a wasteful number, since it uses less digits than its factorization.

676678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 676678464 is about 26013.0441125217. The cubic root of 676678464 is about 877.9318097805.

The spelling of 676678464 in words is "six hundred seventy-six million, six hundred seventy-eight thousand, four hundred sixty-four".