904806487872 has 252 divisors, whose sum is σ = 3021150899520. Its totient is φ = 258150799872.

The previous prime is 904806487841. The next prime is 904806487939. The reversal of 904806487872 is 278784608409.

904806487872 is a `hidden beast` number, since 9 + 0 + 4 + 80 + 6 + 487 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 20270763 + ... + 20315349.

Almost surely, 2^904806487872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904806487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510575449760).

904806487872 is an abundant number, since it is smaller than the sum of its proper divisors (2116344411648).

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

904806487872 is a wasteful number, since it uses less digits than its factorization.

904806487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45338 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 904806487872 in words is "nine hundred four billion, eight hundred six million, four hundred eighty-seven thousand, eight hundred seventy-two".