900724168960 has 288 divisors, whose sum is σ = 2695646822400. Its totient is φ = 280144404480.

The previous prime is 900724168913. The next prime is 900724169003. The reversal of 900724168960 is 69861427009.

It is a happy number.

It is a super-2 number, since 2×900724168960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 900724168898 and 900724168907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47200701 + ... + 47219779.

It is an arithmetic number, because the mean of its divisors is an integer number (9359884800).

Almost surely, 2^900724168960 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 900724168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347823411200).

900724168960 is an abundant number, since it is smaller than the sum of its proper divisors (1794922653440).

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

900724168960 is a wasteful number, since it uses less digits than its factorization.

900724168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19597 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 900724168960 in words is "nine hundred billion, seven hundred twenty-four million, one hundred sixty-eight thousand, nine hundred sixty".