900327415680 has 1280 divisors, whose sum is σ = 4027812687360. Its totient is φ = 186186055680.

The previous prime is 900327415661. The next prime is 900327415697. The reversal of 900327415680 is 86514723009.

900327415680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1129645042 + ... + 1129645838.

It is an arithmetic number, because the mean of its divisors is an integer number (3146728662).

It is a 1-persistent number, because it is pandigital, but 2⋅900327415680 = 1800654831360 is not.

Almost surely, 2^900327415680 is an apocalyptic number.

900327415680 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 900327415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013906343680).

900327415680 is an abundant number, since it is smaller than the sum of its proper divisors (3127485271680).

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

900327415680 is a wasteful number, since it uses less digits than its factorization.

900327415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 900327415680 in words is "nine hundred billion, three hundred twenty-seven million, four hundred fifteen thousand, six hundred eighty".