9004491664 has 45 divisors (see below), whose sum is σ = 20300552337. Its totient is φ = 3857929152.

The previous prime is 9004491659. The next prime is 9004491689. The reversal of 9004491664 is 4661944009.

The square root of 9004491664 is 94892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8740754064 + 263737600 = 93492^2 + 16240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9004491664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2655282 + ... + 2658670.

Almost surely, 2^9004491664 is an apocalyptic number.

9004491664 is the 94892-nd square number.

It is an amenable number.

9004491664 is an abundant number, since it is smaller than the sum of its proper divisors (11296060673).

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

9004491664 is an frugal number, since it uses more digits than its factorization.

9004491664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The cubic root of 9004491664 is about 2080.4298039322.

The spelling of 9004491664 in words is "nine billion, four million, four hundred ninety-one thousand, six hundred sixty-four".