909001416960 has 1728 divisors, whose sum is σ = 4165537259520. Its totient is φ = 177646141440.

The previous prime is 909001416949. The next prime is 909001417003. The reversal of 909001416960 is 69614100909.

909001416960 is a `hidden beast` number, since 90 + 90 + 0 + 1 + 416 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 936149275 + ... + 936150245.

It is an arithmetic number, because the mean of its divisors is an integer number (2410611840).

Almost surely, 2^909001416960 is an apocalyptic number.

909001416960 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 909001416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082768629760).

909001416960 is an abundant number, since it is smaller than the sum of its proper divisors (3256535842560).

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

909001416960 is a wasteful number, since it uses less digits than its factorization.

909001416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 909001416960 in words is "nine hundred nine billion, one million, four hundred sixteen thousand, nine hundred sixty".