9280656000 has 1536 divisors, whose sum is σ = 44482314240. Its totient is φ = 1866240000.

The previous prime is 9280655977. The next prime is 9280656019. The reversal of 9280656000 is 6560829.

9280656000 is a `hidden beast` number, since 92 + 8 + 0 + 6 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×9280656000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299375985 + ... + 299376015.

It is an arithmetic number, because the mean of its divisors is an integer number (28959840).

Almost surely, 2^9280656000 is an apocalyptic number.

9280656000 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 9280656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22241157120).

9280656000 is an abundant number, since it is smaller than the sum of its proper divisors (35201658240).

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

9280656000 is a wasteful number, since it uses less digits than its factorization.

9280656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9280656000 is about 96336.1614348423. The cubic root of 9280656000 is about 2101.4846644058.

The spelling of 9280656000 in words is "nine billion, two hundred eighty million, six hundred fifty-six thousand".