900690440832 has 768 divisors, whose sum is σ = 3371943254400. Its totient is φ = 237497702400.

The previous prime is 900690440831. The next prime is 900690440849. The reversal of 900690440832 is 238044096009.

900690440832 is a `hidden beast` number, since 90 + 0 + 6 + 90 + 440 + 8 + 32 = 666.

It is a super-2 number, since 2×900690440832² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900690440831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178316707 + ... + 178321757.

Almost surely, 2^900690440832 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 900690440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685971627200).

900690440832 is an abundant number, since it is smaller than the sum of its proper divisors (2471252813568).

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

900690440832 is an equidigital number, since it uses as much as digits as its factorization.

900690440832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 900690440832 in words is "nine hundred billion, six hundred ninety million, four hundred forty thousand, eight hundred thirty-two".