679898597040 has 1600 divisors, whose sum is σ = 2815883021952. Its totient is φ = 150493593600.

The previous prime is 679898597029. The next prime is 679898597069. The reversal of 679898597040 is 40795898976.

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

It is a self number, because there is not a number n which added to its sum of digits gives 679898597040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3756345750 + ... + 3756345930.

Almost surely, 2^679898597040 is an apocalyptic number.

679898597040 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 679898597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407941510976).

679898597040 is an abundant number, since it is smaller than the sum of its proper divisors (2135984424912).

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

679898597040 is a wasteful number, since it uses less digits than its factorization.

679898597040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 679898597040 in words is "six hundred seventy-nine billion, eight hundred ninety-eight million, five hundred ninety-seven thousand, forty".