679476528864 has 216 divisors, whose sum is σ = 2254116664800. Its totient is φ = 193584771072.

The previous prime is 679476528847. The next prime is 679476528919. The reversal of 679476528864 is 468825674976.

679476528864 is a `hidden beast` number, since 6 + 7 + 94 + 7 + 6 + 528 + 8 + 6 + 4 = 666.

679476528864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 679476528792 and 679476528801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4913337 + ... + 5049735.

It is an arithmetic number, because the mean of its divisors is an integer number (10435725300).

Almost surely, 2^679476528864 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 679476528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127058332400).

679476528864 is an abundant number, since it is smaller than the sum of its proper divisors (1574640135936).

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

679476528864 is a wasteful number, since it uses less digits than its factorization.

679476528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136782 (or 136764 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 679476528864 in words is "six hundred seventy-nine billion, four hundred seventy-six million, five hundred twenty-eight thousand, eight hundred sixty-four".