9712373760 has 624 divisors, whose sum is σ = 36800524800. Its totient is φ = 2361655296.

The previous prime is 9712373747. The next prime is 9712373761. The reversal of 9712373760 is 673732179.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9712373761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122941401 + ... + 122941479.

It is an arithmetic number, because the mean of its divisors is an integer number (58975200).

Almost surely, 2^9712373760 is an apocalyptic number.

9712373760 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 9712373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

9712373760 is an abundant number, since it is smaller than the sum of its proper divisors (27088151040).

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

9712373760 is a wasteful number, since it uses less digits than its factorization.

9712373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 9712373760 is about 98551.3762460982. The cubic root of 9712373760 is about 2133.5776942310.

The spelling of 9712373760 in words is "nine billion, seven hundred twelve million, three hundred seventy-three thousand, seven hundred sixty".