679889894400 has 924 divisors, whose sum is σ = 2676683270592. Its totient is φ = 170559406080.

The previous prime is 679889894389. The next prime is 679889894419. The reversal of 679889894400 is 4498988976.

679889894400 is a `hidden beast` number, since 6 + 7 + 98 + 8 + 98 + 9 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 317259729 + ... + 317261871.

Almost surely, 2^679889894400 is an apocalyptic number.

679889894400 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 679889894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338341635296).

679889894400 is an abundant number, since it is smaller than the sum of its proper divisors (1996793376192).

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

679889894400 is a wasteful number, since it uses less digits than its factorization.

679889894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 679889894400 in words is "six hundred seventy-nine billion, eight hundred eighty-nine million, eight hundred ninety-four thousand, four hundred".