679947955200 has 660 divisors, whose sum is σ = 2532302350600. Its totient is φ = 180273807360.

The previous prime is 679947955199. The next prime is 679947955201. The reversal of 679947955200 is 2559749976.

679947955200 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 4 + 79 + 552 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (679947955199) and next prime (679947955201).

It is a super-2 number, since 2×679947955200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679947955201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 400203951 + ... + 400205649.

Almost surely, 2^679947955200 is an apocalyptic number.

679947955200 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 679947955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266151175300).

679947955200 is an abundant number, since it is smaller than the sum of its proper divisors (1852354395400).

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

679947955200 is a wasteful number, since it uses less digits than its factorization.

679947955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 679947955200 in words is "six hundred seventy-nine billion, nine hundred forty-seven million, nine hundred fifty-five thousand, two hundred".