9724766034960 has 960 divisors, whose sum is σ = 36278820864000. Its totient is φ = 2323633029120.

The previous prime is 9724766034937. The next prime is 9724766034979. The reversal of 9724766034960 is 694306674279.

9724766034960 is a `hidden beast` number, since 9 + 7 + 2 + 476 + 60 + 3 + 49 + 60 = 666.

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, 13159358271 + ... + 13159359009.

It is an arithmetic number, because the mean of its divisors is an integer number (37790438400).

Almost surely, 2^{9724766034960} is an apocalyptic number.

9724766034960 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 9724766034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139410432000).

9724766034960 is an abundant number, since it is smaller than the sum of its proper divisors (26554054829040).

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

9724766034960 is a wasteful number, since it uses less digits than its factorization.

9724766034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 9724766034960 in words is "nine trillion, seven hundred twenty-four billion, seven hundred sixty-six million, thirty-four thousand, nine hundred sixty".