979639768800 has 1152 divisors, whose sum is σ = 4444995502080. Its totient is φ = 202285209600.

The previous prime is 979639768781. The next prime is 979639768843. The reversal of 979639768800 is 8867936979.

979639768800 is a `hidden beast` number, since 97 + 96 + 397 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×979639768800² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 277752637 + ... + 277756163.

It is an arithmetic number, because the mean of its divisors is an integer number (3858503040).

Almost surely, 2^979639768800 is an apocalyptic number.

979639768800 is a gapful number since it is divisible by the number (90) 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 979639768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222497751040).

979639768800 is an abundant number, since it is smaller than the sum of its proper divisors (3465355733280).

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

979639768800 is a wasteful number, since it uses less digits than its factorization.

979639768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 979639768800 in words is "nine hundred seventy-nine billion, six hundred thirty-nine million, seven hundred sixty-eight thousand, eight hundred".