9056335680 has 448 divisors, whose sum is σ = 36813012480. Its totient is φ = 2053029888.

The previous prime is 9056335679. The next prime is 9056335697. The reversal of 9056335680 is 865336509.

9056335680 is a `hidden beast` number, since 9 + 0 + 5 + 633 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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, 8285214 + ... + 8286306.

Almost surely, 2^9056335680 is an apocalyptic number.

9056335680 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 9056335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406506240).

9056335680 is an abundant number, since it is smaller than the sum of its proper divisors (27756676800).

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

9056335680 is a wasteful number, since it uses less digits than its factorization.

9056335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 9056335680 is about 95164.7817209707. The cubic root of 9056335680 is about 2084.4149075104.

The spelling of 9056335680 in words is "nine billion, fifty-six million, three hundred thirty-five thousand, six hundred eighty".