900765048960 has 640 divisors, whose sum is σ = 3683701929600. Its totient is φ = 205476839424.

The previous prime is 900765048949. The next prime is 900765049003. The reversal of 900765048960 is 69840567009.

900765048960 is a `hidden beast` number, since 9 + 0 + 0 + 76 + 504 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×900765048960² (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 = 900765048897 and 900765048906.

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, 204299236 + ... + 204303644.

It is an arithmetic number, because the mean of its divisors is an integer number (5755784265).

Almost surely, 2^900765048960 is an apocalyptic number.

900765048960 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 900765048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841850964800).

900765048960 is an abundant number, since it is smaller than the sum of its proper divisors (2782936880640).

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

900765048960 is a wasteful number, since it uses less digits than its factorization.

900765048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 900765048960 in words is "nine hundred billion, seven hundred sixty-five million, forty-eight thousand, nine hundred sixty".