679505976 has 64 divisors (see below), whose sum is σ = 1896115200. Its totient is φ = 225470304.

The previous prime is 679505947. The next prime is 679506001.

679505976 is a `hidden beast` number, since 67 + 9 + 505 + 9 + 76 = 666.

679505976 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41115 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (29626800).

Almost surely, 2^679505976 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 679505976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948057600).

679505976 is an abundant number, since it is smaller than the sum of its proper divisors (1216609224).

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

679505976 is a wasteful number, since it uses less digits than its factorization.

679505976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14335 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 679505976 is about 26067.3354219414. The cubic root of 679505976 is about 879.1529279985.

The spelling of 679505976 in words is "six hundred seventy-nine million, five hundred five thousand, nine hundred seventy-six".