900866640960 has 504 divisors, whose sum is σ = 3660343712064. Its totient is φ = 201591336960.

The previous prime is 900866640917. The next prime is 900866640983. The reversal of 900866640960 is 69046668009.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 900866640897 and 900866640906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5269789 + ... + 5438051.

Almost surely, 2^900866640960 is an apocalyptic number.

900866640960 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 900866640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830171856032).

900866640960 is an abundant number, since it is smaller than the sum of its proper divisors (2759477071104).

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

900866640960 is a wasteful number, since it uses less digits than its factorization.

900866640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168323 (or 168297 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 900866640960 in words is "nine hundred billion, eight hundred sixty-six million, six hundred forty thousand, nine hundred sixty".