904341672000 has 1120 divisors, whose sum is σ = 3720228255744. Its totient is φ = 215364096000.

The previous prime is 904341671993. The next prime is 904341672019. The reversal of 904341672000 is 276143409.

904341672000 is a `hidden beast` number, since 9 + 0 + 434 + 16 + 7 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261142269 + ... + 261145731.

Almost surely, 2^904341672000 is an apocalyptic number.

904341672000 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 904341672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860114127872).

904341672000 is an abundant number, since it is smaller than the sum of its proper divisors (2815886583744).

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

904341672000 is a wasteful number, since it uses less digits than its factorization.

904341672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 904341672000 in words is "nine hundred four billion, three hundred forty-one million, six hundred seventy-two thousand".