9080668800 has 576 divisors, whose sum is σ = 38251599360. Its totient is φ = 2007244800.

The previous prime is 9080668787. The next prime is 9080668811. The reversal of 9080668800 is 88660809.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 6248874 + ... + 6250326.

Almost surely, 2^9080668800 is an apocalyptic number.

9080668800 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 9080668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125799680).

9080668800 is an abundant number, since it is smaller than the sum of its proper divisors (29170930560).

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

9080668800 is a wasteful number, since it uses less digits than its factorization.

9080668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9080668800 is about 95292.5432549683. The cubic root of 9080668800 is about 2086.2800827643.

The spelling of 9080668800 in words is "nine billion, eighty million, six hundred sixty-eight thousand, eight hundred".