679760363520 has 880 divisors, whose sum is σ = 2819578248720. Its totient is φ = 155373797376.

The previous prime is 679760363509. The next prime is 679760363533. The reversal of 679760363520 is 25363067976.

679760363520 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 603 + 6 + 3 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97108623357 + ... + 97108623363.

Almost surely, 2^679760363520 is an apocalyptic number.

679760363520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

679760363520 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679760363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409789124360).

679760363520 is an abundant number, since it is smaller than the sum of its proper divisors (2139817885200).

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

679760363520 is an frugal number, since it uses more digits than its factorization.

679760363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 679760363520 in words is "six hundred seventy-nine billion, seven hundred sixty million, three hundred sixty-three thousand, five hundred twenty".