900636105600 has 2304 divisors, whose sum is σ = 4284859084800. Its totient is φ = 180652032000.

The previous prime is 900636105587. The next prime is 900636105619. The reversal of 900636105600 is 6501636009.

900636105600 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 36 + 10 + 5 + 600 = 666.

It is a super-4 number, since 4×900636105600⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2268604602 + ... + 2268604998.

Almost surely, 2^900636105600 is an apocalyptic number.

900636105600 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 900636105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142429542400).

900636105600 is an abundant number, since it is smaller than the sum of its proper divisors (3384222979200).

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

900636105600 is a wasteful number, since it uses less digits than its factorization.

900636105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 900636105600 in words is "nine hundred billion, six hundred thirty-six million, one hundred five thousand, six hundred".