9057641600 has 192 divisors, whose sum is σ = 25680499200. Its totient is φ = 3092275200.

The previous prime is 9057641587. The next prime is 9057641603. The reversal of 9057641600 is 61467509.

It is not an unprimeable number, because it can be changed into a prime (9057641603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6293681 + ... + 6295119.

It is an arithmetic number, because the mean of its divisors is an integer number (133752600).

Almost surely, 2^9057641600 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 9057641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840249600).

9057641600 is an abundant number, since it is smaller than the sum of its proper divisors (16622857600).

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

9057641600 is a wasteful number, since it uses less digits than its factorization.

9057641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 9057641600 is about 95171.6428354581. The cubic root of 9057641600 is about 2084.5150932950.

The spelling of 9057641600 in words is "nine billion, fifty-seven million, six hundred forty-one thousand, six hundred".