900379473840 has 1280 divisors, whose sum is σ = 4128421478400. Its totient is φ = 174704947200.

The previous prime is 900379473809. The next prime is 900379473841. The reversal of 900379473840 is 48374973009.

900379473840 is a `hidden beast` number, since 90 + 0 + 3 + 7 + 9 + 473 + 84 + 0 = 666.

900379473840 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 (54).

It is not an unprimeable number, because it can be changed into a prime (900379473841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224363674 + ... + 224367686.

It is an arithmetic number, because the mean of its divisors is an integer number (3225329280).

Almost surely, 2^900379473840 is an apocalyptic number.

900379473840 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 900379473840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064210739200).

900379473840 is an abundant number, since it is smaller than the sum of its proper divisors (3228042004560).

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

900379473840 is a wasteful number, since it uses less digits than its factorization.

900379473840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 900379473840 in words is "nine hundred billion, three hundred seventy-nine million, four hundred seventy-three thousand, eight hundred forty".