679950032580 has 768 divisors, whose sum is σ = 2901878784000. Its totient is φ = 127913582592.

The previous prime is 679950032501. The next prime is 679950032689. The reversal of 679950032580 is 85230059976.

679950032580 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 50 + 0 + 3 + 2 + 580 = 666.

It is a super-2 number, since 2×679950032580² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15850801 + ... + 15893639.

It is an arithmetic number, because the mean of its divisors is an integer number (3778488000).

Almost surely, 2^679950032580 is an apocalyptic number.

679950032580 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 679950032580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450939392000).

679950032580 is an abundant number, since it is smaller than the sum of its proper divisors (2221928751420).

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

679950032580 is a wasteful number, since it uses less digits than its factorization.

679950032580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42913 (or 42905 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 679950032580 in words is "six hundred seventy-nine billion, nine hundred fifty million, thirty-two thousand, five hundred eighty".