679633637760 has 2304 divisors, whose sum is σ = 3212900121600. Its totient is φ = 130427781120.

The previous prime is 679633637737. The next prime is 679633637773. The reversal of 679633637760 is 67736336976.

679633637760 is a `hidden beast` number, since 67 + 96 + 3 + 363 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4169531439 + ... + 4169531601.

It is an arithmetic number, because the mean of its divisors is an integer number (1394487900).

Almost surely, 2^679633637760 is an apocalyptic number.

679633637760 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 679633637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606450060800).

679633637760 is an abundant number, since it is smaller than the sum of its proper divisors (2533266483840).

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

679633637760 is a wasteful number, since it uses less digits than its factorization.

679633637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 63.

The spelling of 679633637760 in words is "six hundred seventy-nine billion, six hundred thirty-three million, six hundred thirty-seven thousand, seven hundred sixty".