679419994176 has 448 divisors, whose sum is σ = 2527426959360. Its totient is φ = 173836523520.

The previous prime is 679419994163. The next prime is 679419994177. The reversal of 679419994176 is 671499914976.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×679419994176² (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 not an unprimeable number, because it can be changed into a prime (679419994177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8876646 + ... + 8952858.

Almost surely, 2^679419994176 is an apocalyptic number.

679419994176 is a gapful number since it is divisible by the number (66) 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 679419994176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263713479680).

679419994176 is an abundant number, since it is smaller than the sum of its proper divisors (1848006965184).

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

679419994176 is a wasteful number, since it uses less digits than its factorization.

679419994176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76319 (or 76303 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 679419994176 in words is "six hundred seventy-nine billion, four hundred nineteen million, nine hundred ninety-four thousand, one hundred seventy-six".