679909405032 has 480 divisors, whose sum is σ = 2372970784800. Its totient is φ = 180169608960.

The previous prime is 679909405031. The next prime is 679909405037. The reversal of 679909405032 is 230504909976.

679909405032 is a `hidden beast` number, since 6 + 7 + 9 + 90 + 9 + 40 + 503 + 2 = 666.

It is a super-4 number, since 4×679909405032⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 679909405032.

It is not an unprimeable number, because it can be changed into a prime (679909405031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19349223 + ... + 19384329.

It is an arithmetic number, because the mean of its divisors is an integer number (4943689135).

Almost surely, 2^679909405032 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 679909405032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186485392400).

679909405032 is an abundant number, since it is smaller than the sum of its proper divisors (1693061379768).

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

679909405032 is a wasteful number, since it uses less digits than its factorization.

679909405032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35179 (or 35155 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 679909405032 in words is "six hundred seventy-nine billion, nine hundred nine million, four hundred five thousand, thirty-two".