9005361864 has 144 divisors (see below), whose sum is σ = 23880855600. Its totient is φ = 2829640320.

The previous prime is 9005361853. The next prime is 9005361881. The reversal of 9005361864 is 4681635009.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64786707 + ... + 64786845.

It is an arithmetic number, because the mean of its divisors is an integer number (165839275).

Almost surely, 2^9005361864 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 9005361864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940427800).

9005361864 is an abundant number, since it is smaller than the sum of its proper divisors (14875493736).

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

9005361864 is a wasteful number, since it uses less digits than its factorization.

9005361864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 9005361864 is about 94896.5851018887. The cubic root of 9005361864 is about 2080.4968198085.

The spelling of 9005361864 in words is "nine billion, five million, three hundred sixty-one thousand, eight hundred sixty-four".