679884530650416 has 960 divisors, whose sum is σ = 2477164737024000. Its totient is φ = 174745239072768.

The previous prime is 679884530650397. The next prime is 679884530650441. The reversal of 679884530650416 is 614056035488976.

679884530650416 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 84 + 5 + 30 + 6 + 504 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4035725001 + ... + 4035893463.

It is an arithmetic number, because the mean of its divisors is an integer number (2580379934400).

Almost surely, 2^{679884530650416} 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 679884530650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238582368512000).

679884530650416 is an abundant number, since it is smaller than the sum of its proper divisors (1797280206373584).

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

679884530650416 is a wasteful number, since it uses less digits than its factorization.

679884530650416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168715 (or 168690 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 679884530650416 in words is "six hundred seventy-nine trillion, eight hundred eighty-four billion, five hundred thirty million, six hundred fifty thousand, four hundred sixteen".