679667054976 has 480 divisors, whose sum is σ = 2533929108480. Its totient is φ = 179251107840.

The previous prime is 679667054953. The next prime is 679667054999. The reversal of 679667054976 is 679450766976.

679667054976 is a `hidden beast` number, since 6 + 7 + 9 + 6 + 6 + 7 + 0 + 549 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (679667054953) and next prime (679667054999).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6552961 + ... + 6655871.

It is an arithmetic number, because the mean of its divisors is an integer number (5279018976).

Almost surely, 2^679667054976 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 679667054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266964554240).

679667054976 is an abundant number, since it is smaller than the sum of its proper divisors (1854262053504).

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

679667054976 is a wasteful number, since it uses less digits than its factorization.

679667054976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102964 (or 102936 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 679667054976 in words is "six hundred seventy-nine billion, six hundred sixty-seven million, fifty-four thousand, nine hundred seventy-six".