679955447808 has 1440 divisors, whose sum is σ = 2677561958400. Its totient is φ = 168552824832.

The previous prime is 679955447753. The next prime is 679955447833. The reversal of 679955447808 is 808744559976.

679955447808 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 5 + 544 + 78 + 0 + 8 = 666.

It is a super-2 number, since 2×679955447808² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5353979841 + ... + 5353979967.

Almost surely, 2^679955447808 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 679955447808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338780979200).

679955447808 is an abundant number, since it is smaller than the sum of its proper divisors (1997606510592).

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

679955447808 is a wasteful number, since it uses less digits than its factorization.

679955447808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 679955447808 in words is "six hundred seventy-nine billion, nine hundred fifty-five million, four hundred forty-seven thousand, eight hundred eight".