679206850560 has 1456 divisors, whose sum is σ = 2863738206336. Its totient is φ = 151353556992.

The previous prime is 679206850537. The next prime is 679206850643. The reversal of 679206850560 is 65058602976.

It is a happy number.

679206850560 is a `hidden beast` number, since 6 + 7 + 9 + 20 + 6 + 8 + 50 + 560 = 666.

It is a super-2 number, since 2×679206850560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 679206850497 and 679206850506.

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 111 ways as a sum of consecutive naturals, for example, 7002132432 + ... + 7002132528.

Almost surely, 2^679206850560 is an apocalyptic number.

679206850560 is a gapful number since it is divisible by the number (60) 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 679206850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431869103168).

679206850560 is an abundant number, since it is smaller than the sum of its proper divisors (2184531355776).

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

679206850560 is an frugal number, since it uses more digits than its factorization.

679206850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 679206850560 in words is "six hundred seventy-nine billion, two hundred six million, eight hundred fifty thousand, five hundred sixty".