9724294964160 has 1344 divisors, whose sum is σ = 39343018291200. Its totient is φ = 2159065497600.

The previous prime is 9724294964159. The next prime is 9724294964171. The reversal of 9724294964160 is 614694924279.

9724294964160 is a `hidden beast` number, since 9 + 7 + 2 + 42 + 9 + 496 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 41735171404 + ... + 41735171636.

Almost surely, 2^{9724294964160} is an apocalyptic number.

9724294964160 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 9724294964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671509145600).

9724294964160 is an abundant number, since it is smaller than the sum of its proper divisors (29618723327040).

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

9724294964160 is a wasteful number, since it uses less digits than its factorization.

9724294964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 9724294964160 in words is "nine trillion, seven hundred twenty-four billion, two hundred ninety-four million, nine hundred sixty-four thousand, one hundred sixty".