9345624960 has 512 divisors, whose sum is σ = 36308736000. Its totient is φ = 2039955456.

The previous prime is 9345624877. The next prime is 9345624961. The reversal of 9345624960 is 694265439.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9345624961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15146572 + ... + 15147188.

It is an arithmetic number, because the mean of its divisors is an integer number (70915500).

Almost surely, 2^9345624960 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 9345624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154368000).

9345624960 is an abundant number, since it is smaller than the sum of its proper divisors (26963111040).

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

9345624960 is a wasteful number, since it uses less digits than its factorization.

9345624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 9345624960 is about 96672.7725887698. The cubic root of 9345624960 is about 2106.3770596567.

The spelling of 9345624960 in words is "nine billion, three hundred forty-five million, six hundred twenty-four thousand, nine hundred sixty".