900663220800 has 504 divisors, whose sum is σ = 3668817859200. Its totient is φ = 205284188160.

The previous prime is 900663220781. The next prime is 900663220823. The reversal of 900663220800 is 8022366009.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×900663220800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36174756 + ... + 36199644.

Almost surely, 2^900663220800 is an apocalyptic number.

900663220800 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 900663220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834408929600).

900663220800 is an abundant number, since it is smaller than the sum of its proper divisors (2768154638400).

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

900663220800 is a wasteful number, since it uses less digits than its factorization.

900663220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25283 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 900663220800 its reverse (8022366009), we get a palindrome (908685586809).

The spelling of 900663220800 in words is "nine hundred billion, six hundred sixty-three million, two hundred twenty thousand, eight hundred".