679998219264 has 880 divisors, whose sum is σ = 2608536446208. Its totient is φ = 171498995712.

The previous prime is 679998219247. The next prime is 679998219281. The reversal of 679998219264 is 462912899976.

679998219264 is a `hidden beast` number, since 67 + 9 + 9 + 98 + 219 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (679998219247) and next prime (679998219281).

It is a super-2 number, since 2×679998219264² (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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 679998219192 and 679998219201.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173599834 + ... + 173603750.

Almost surely, 2^679998219264 is an apocalyptic number.

679998219264 is a gapful number since it is divisible by the number (64) 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 679998219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304268223104).

679998219264 is an abundant number, since it is smaller than the sum of its proper divisors (1928538226944).

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

679998219264 is a wasteful number, since it uses less digits than its factorization.

679998219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3965 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 679998219264 in words is "six hundred seventy-nine billion, nine hundred ninety-eight million, two hundred nineteen thousand, two hundred sixty-four".