679146660864 has 528 divisors, whose sum is σ = 2396941364160. Its totient is φ = 189293690880.

The previous prime is 679146660851. The next prime is 679146660949. The reversal of 679146660864 is 468066641976.

It is a super-3 number, since 3×679146660864³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55538719 + ... + 55550945.

Almost surely, 2^679146660864 is an apocalyptic number.

679146660864 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 679146660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198470682080).

679146660864 is an abundant number, since it is smaller than the sum of its proper divisors (1717794703296).

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

679146660864 is a wasteful number, since it uses less digits than its factorization.

679146660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 679146660864 in words is "six hundred seventy-nine billion, one hundred forty-six million, six hundred sixty thousand, eight hundred sixty-four".