900465992640 has 336 divisors, whose sum is σ = 3264862456800. Its totient is φ = 233631350784.

The previous prime is 900465992627. The next prime is 900465992711. The reversal of 900465992640 is 46299564009.

It is a happy number.

900465992640 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 6 + 599 + 2 + 6 + 40 = 666.

900465992640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900465992640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11790096 + ... + 11866224.

It is an arithmetic number, because the mean of its divisors is an integer number (9716852550).

Almost surely, 2^900465992640 is an apocalyptic number.

900465992640 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 900465992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632431228400).

900465992640 is an abundant number, since it is smaller than the sum of its proper divisors (2364396464160).

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

900465992640 is a wasteful number, since it uses less digits than its factorization.

900465992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76229 (or 76176 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 900465992640 in words is "nine hundred billion, four hundred sixty-five million, nine hundred ninety-two thousand, six hundred forty".