9000672768 has 120 divisors (see below), whose sum is σ = 26046676656. Its totient is φ = 2992128000.

The previous prime is 9000672767. The next prime is 9000672817. The reversal of 9000672768 is 8672760009.

It is a happy number.

It is a super-2 number, since 2×9000672768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000672767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845373 + ... + 1850243.

Almost surely, 2^9000672768 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 9000672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023338328).

9000672768 is an abundant number, since it is smaller than the sum of its proper divisors (17046003888).

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

9000672768 is a wasteful number, since it uses less digits than its factorization.

9000672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5277 counting only the distinct ones).

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

The square root of 9000672768 is about 94871.8755374848. The cubic root of 9000672768 is about 2080.1356519025.

The spelling of 9000672768 in words is "nine billion, six hundred seventy-two thousand, seven hundred sixty-eight".