679170316032 has 864 divisors, whose sum is σ = 2262760980480. Its totient is φ = 194434007040.

The previous prime is 679170316009. The next prime is 679170316043. The reversal of 679170316032 is 230613071976.

679170316032 is a `hidden beast` number, since 6 + 7 + 9 + 1 + 7 + 0 + 31 + 603 + 2 = 666.

It is a super-2 number, since 2×679170316032² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3447564958 + ... + 3447565154.

It is an arithmetic number, because the mean of its divisors is an integer number (2618936320).

Almost surely, 2^679170316032 is an apocalyptic number.

679170316032 is a gapful number since it is divisible by the number (62) 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 679170316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131380490240).

679170316032 is an abundant number, since it is smaller than the sum of its proper divisors (1583590664448).

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

679170316032 is a wasteful number, since it uses less digits than its factorization.

679170316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 679170316032 in words is "six hundred seventy-nine billion, one hundred seventy million, three hundred sixteen thousand, thirty-two".