679411635840 has 1024 divisors, whose sum is σ = 2833632460800. Its totient is φ = 150632939520.

The previous prime is 679411635839. The next prime is 679411635863. The reversal of 679411635840 is 48536114976.

679411635840 is a `hidden beast` number, since 6 + 7 + 9 + 41 + 16 + 3 + 584 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 722009770 + ... + 722010710.

It is an arithmetic number, because the mean of its divisors is an integer number (2767219200).

Almost surely, 2^679411635840 is an apocalyptic number.

679411635840 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 679411635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416816230400).

679411635840 is an abundant number, since it is smaller than the sum of its proper divisors (2154220824960).

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

679411635840 is a wasteful number, since it uses less digits than its factorization.

679411635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 679411635840 in words is "six hundred seventy-nine billion, four hundred eleven million, six hundred thirty-five thousand, eight hundred forty".