9172768320 has 448 divisors, whose sum is σ = 34586265600. Its totient is φ = 2281789440.

The previous prime is 9172768307. The next prime is 9172768361. The reversal of 9172768320 is 238672719.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11654967 + ... + 11655753.

Almost surely, 2^9172768320 is an apocalyptic number.

9172768320 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 9172768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293132800).

9172768320 is an abundant number, since it is smaller than the sum of its proper divisors (25413497280).

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

9172768320 is a wasteful number, since it uses less digits than its factorization.

9172768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9172768320 is about 95774.5703201011. The cubic root of 9172768320 is about 2093.3096467314.

The spelling of 9172768320 in words is "nine billion, one hundred seventy-two million, seven hundred sixty-eight thousand, three hundred twenty".