900628806960 has 400 divisors, whose sum is σ = 3234583925760. Its totient is φ = 232012823040.

The previous prime is 900628806911. The next prime is 900628806997. The reversal of 900628806960 is 69608826009.

900628806960 is a `hidden beast` number, since 9 + 0 + 0 + 628 + 8 + 0 + 6 + 9 + 6 + 0 = 666.

900628806960 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 2×900628806960² (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 junction number, because it is equal to n+sod(n) for n = 900628806897 and 900628806906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124341099 + ... + 124348341.

Almost surely, 2^900628806960 is an apocalyptic number.

900628806960 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 900628806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617291962880).

900628806960 is an abundant number, since it is smaller than the sum of its proper divisors (2333955118800).

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

900628806960 is a wasteful number, since it uses less digits than its factorization.

900628806960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 900628806960 in words is "nine hundred billion, six hundred twenty-eight million, eight hundred six thousand, nine hundred sixty".