979451633664 has 448 divisors, whose sum is σ = 3337665338880. Its totient is φ = 278054830080.

The previous prime is 979451633623. The next prime is 979451633681. The reversal of 979451633664 is 466336154979.

979451633664 is a `hidden beast` number, since 9 + 79 + 45 + 163 + 366 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252369004 + ... + 252372884.

Almost surely, 2^979451633664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979451633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668832669440).

979451633664 is an abundant number, since it is smaller than the sum of its proper divisors (2358213705216).

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

979451633664 is a wasteful number, since it uses less digits than its factorization.

979451633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4056 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 979451633664 in words is "nine hundred seventy-nine billion, four hundred fifty-one million, six hundred thirty-three thousand, six hundred sixty-four".