900180234360 has 256 divisors, whose sum is σ = 3275384947200. Its totient is φ = 218092032000.

The previous prime is 900180234353. The next prime is 900180234361. The reversal of 900180234360 is 63432081009.

900180234360 is a `hidden beast` number, since 90 + 0 + 180 + 2 + 34 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900180234361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20138035 + ... + 20182685.

It is an arithmetic number, because the mean of its divisors is an integer number (12794472450).

Almost surely, 2^900180234360 is an apocalyptic number.

900180234360 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 900180234360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637692473600).

900180234360 is an abundant number, since it is smaller than the sum of its proper divisors (2375204712840).

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

900180234360 is a wasteful number, since it uses less digits than its factorization.

900180234360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46379 (or 46369 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 900180234360 in words is "nine hundred billion, one hundred eighty million, two hundred thirty-four thousand, three hundred sixty".