679201484772096 has 432 divisors, whose sum is σ = 2301773215402752. Its totient is φ = 189895029350400.

The previous prime is 679201484772077. The next prime is 679201484772197. The reversal of 679201484772096 is 690277484102976.

679201484772096 is a `hidden beast` number, since 6 + 7 + 9 + 2 + 0 + 1 + 48 + 477 + 20 + 96 = 666.

It is a super-2 number, since 2×679201484772096² (a number of 30 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 47 ways as a sum of consecutive naturals, for example, 685795341 + ... + 686785011.

Almost surely, 2^{679201484772096} is an apocalyptic number.

679201484772096 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 679201484772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150886607701376).

679201484772096 is an abundant number, since it is smaller than the sum of its proper divisors (1622571730630656).

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

679201484772096 is a wasteful number, since it uses less digits than its factorization.

679201484772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991800 (or 991783 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 679201484772096 in words is "six hundred seventy-nine trillion, two hundred one billion, four hundred eighty-four million, seven hundred seventy-two thousand, ninety-six".