900389381760 has 1536 divisors, whose sum is σ = 3772997625600. Its totient is φ = 202038312960.

The previous prime is 900389381747. The next prime is 900389381767. The reversal of 900389381760 is 67183983009.

900389381760 is a `hidden beast` number, since 90 + 0 + 389 + 3 + 8 + 176 + 0 = 666.

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 = 900389381697 and 900389381706.

It is not an unprimeable number, because it can be changed into a prime (900389381767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2594781907 + ... + 2594782253.

Almost surely, 2^900389381760 is an apocalyptic number.

900389381760 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 900389381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886498812800).

900389381760 is an abundant number, since it is smaller than the sum of its proper divisors (2872608243840).

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

900389381760 is a wasteful number, since it uses less digits than its factorization.

900389381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 900389381760 in words is "nine hundred billion, three hundred eighty-nine million, three hundred eighty-one thousand, seven hundred sixty".