900769104000 has 768 divisors, whose sum is σ = 3291753310560. Its totient is φ = 236027904000.

The previous prime is 900769103999. The next prime is 900769104007. The reversal of 900769104000 is 401967009.

It can be written as a sum of positive squares in 16 ways, for example, as 14625516096 + 886143587904 = 120936^2 + 941352^2 .

It is a super-2 number, since 2×900769104000² (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 not an unprimeable number, because it can be changed into a prime (900769104007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3205583860 + ... + 3205584140.

Almost surely, 2^900769104000 is an apocalyptic number.

900769104000 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 900769104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645876655280).

900769104000 is an abundant number, since it is smaller than the sum of its proper divisors (2390984206560).

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

900769104000 is a wasteful number, since it uses less digits than its factorization.

900769104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 900769104000 in words is "nine hundred billion, seven hundred sixty-nine million, one hundred four thousand".