9000806400 has 576 divisors, whose sum is σ = 35097753600. Its totient is φ = 2253127680.

The previous prime is 9000806371. The next prime is 9000806447. The reversal of 9000806400 is 46080009.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23500609 + ... + 23500991.

It is an arithmetic number, because the mean of its divisors is an integer number (60933600).

Almost surely, 2^9000806400 is an apocalyptic number.

9000806400 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 9000806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

9000806400 is an abundant number, since it is smaller than the sum of its proper divisors (26096947200).

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

9000806400 is a wasteful number, since it uses less digits than its factorization.

9000806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9000806400 is about 94872.5798110286. The cubic root of 9000806400 is about 2080.1459463667.

Adding to 9000806400 its reverse (46080009), we get a palindrome (9046886409).

The spelling of 9000806400 in words is "nine billion, eight hundred six thousand, four hundred".