901745664 has 88 divisors (see below), whose sum is σ = 2426431920. Its totient is φ = 297713664.

The previous prime is 901745627. The next prime is 901745693. The reversal of 901745664 is 466547109.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333502 + ... + 336194.

It is an arithmetic number, because the mean of its divisors is an integer number (27573090).

Almost surely, 2^901745664 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 901745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213215960).

901745664 is an abundant number, since it is smaller than the sum of its proper divisors (1524686256).

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

901745664 is a wasteful number, since it uses less digits than its factorization.

901745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 901745664 is about 30029.0803055971. The cubic root of 901745664 is about 966.1132111014.

The spelling of 901745664 in words is "nine hundred one million, seven hundred forty-five thousand, six hundred sixty-four".