904028791680 has 1920 divisors, whose sum is σ = 3990561569280. Its totient is φ = 190965620736.

The previous prime is 904028791669. The next prime is 904028791703. The reversal of 904028791680 is 86197820409.

904028791680 is a `hidden beast` number, since 9 + 0 + 402 + 8 + 79 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8776978509 + ... + 8776978611.

It is an arithmetic number, because the mean of its divisors is an integer number (2078417484).

Almost surely, 2^904028791680 is an apocalyptic number.

904028791680 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 904028791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995280784640).

904028791680 is an abundant number, since it is smaller than the sum of its proper divisors (3086532777600).

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

904028791680 is a wasteful number, since it uses less digits than its factorization.

904028791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 904028791680 in words is "nine hundred four billion, twenty-eight million, seven hundred ninety-one thousand, six hundred eighty".