979704544896 has 1152 divisors, whose sum is σ = 3735967872000. Its totient is φ = 245887488000.

The previous prime is 979704544891. The next prime is 979704544901. The reversal of 979704544896 is 698445407979.

979704544896 is a `hidden beast` number, since 9 + 7 + 9 + 70 + 4 + 544 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (979704544891) and next prime (979704544901).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (979704544891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1482154806 + ... + 1482155466.

Almost surely, 2^979704544896 is an apocalyptic number.

979704544896 is a gapful number since it is divisible by the number (96) 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 979704544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867983936000).

979704544896 is an abundant number, since it is smaller than the sum of its proper divisors (2756263327104).

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

979704544896 is a wasteful number, since it uses less digits than its factorization.

979704544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 979704544896 in words is "nine hundred seventy-nine billion, seven hundred four million, five hundred forty-four thousand, eight hundred ninety-six".