679870464 has 288 divisors, whose sum is σ = 2348801280. Its totient is φ = 169869312.

The previous prime is 679870459. The next prime is 679870531. The reversal of 679870464 is 464078976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35782647 + ... + 35782665.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^679870464 is an apocalyptic number.

679870464 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 679870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

679870464 is an abundant number, since it is smaller than the sum of its proper divisors (1668930816).

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

679870464 is an equidigital number, since it uses as much as digits as its factorization.

679870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 679870464 is about 26074.3257630950. The cubic root of 679870464 is about 879.3100928731.

The spelling of 679870464 in words is "six hundred seventy-nine million, eight hundred seventy thousand, four hundred sixty-four".