679461952680 has 384 divisors, whose sum is σ = 2585617182720. Its totient is φ = 151505303040.

The previous prime is 679461952633. The next prime is 679461952711. The reversal of 679461952680 is 86259164976.

679461952680 is a `hidden beast` number, since 6 + 7 + 9 + 4 + 619 + 5 + 2 + 6 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98712519 + ... + 98719401.

It is an arithmetic number, because the mean of its divisors is an integer number (6733378080).

Almost surely, 2^679461952680 is an apocalyptic number.

679461952680 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 679461952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292808591360).

679461952680 is an abundant number, since it is smaller than the sum of its proper divisors (1906155230040).

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

679461952680 is a wasteful number, since it uses less digits than its factorization.

679461952680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 679461952680 in words is "six hundred seventy-nine billion, four hundred sixty-one million, nine hundred fifty-two thousand, six hundred eighty".