9094256640 has 768 divisors, whose sum is σ = 38242713600. Its totient is φ = 2006581248.

The previous prime is 9094256609. The next prime is 9094256659. The reversal of 9094256640 is 466524909.

9094256640 is a `hidden beast` number, since 9 + 0 + 9 + 42 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 71608257 + ... + 71608383.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^9094256640 is an apocalyptic number.

9094256640 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 9094256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

9094256640 is an abundant number, since it is smaller than the sum of its proper divisors (29148456960).

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

9094256640 is a wasteful number, since it uses less digits than its factorization.

9094256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9094256640 is about 95363.8120043447. The cubic root of 9094256640 is about 2087.3201644593.

The spelling of 9094256640 in words is "nine billion, ninety-four million, two hundred fifty-six thousand, six hundred forty".