304082689680 has 1200 divisors, whose sum is σ = 1405173813120. Its totient is φ = 59450941440.

The previous prime is 304082689657. The next prime is 304082689693. The reversal of 304082689680 is 86986280403.

304082689680 is digitally balanced in base 4, 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 93303891 + ... + 93307149.

Almost surely, 2^304082689680 is an apocalyptic number.

304082689680 is a gapful number since it is divisible by the number (30) 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 304082689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702586906560).

304082689680 is an abundant number, since it is smaller than the sum of its proper divisors (1101091123440).

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

304082689680 is a wasteful number, since it uses less digits than its factorization.

304082689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 304082689680 in words is "three hundred four billion, eighty-two million, six hundred eighty-nine thousand, six hundred eighty".