304640233920 has 1344 divisors, whose sum is σ = 1271903772672. Its totient is φ = 66060288000.

The previous prime is 304640233913. The next prime is 304640233927. The reversal of 304640233920 is 29332046403.

304640233920 is a `hidden beast` number, since 3 + 0 + 4 + 640 + 2 + 3 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (304640233913) and next prime (304640233927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304640233927) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1185370432 + ... + 1185370688.

Almost surely, 2^304640233920 is an apocalyptic number.

304640233920 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 304640233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635951886336).

304640233920 is an abundant number, since it is smaller than the sum of its proper divisors (967263538752).

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

304640233920 is a wasteful number, since it uses less digits than its factorization.

304640233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 304640233920 in words is "three hundred four billion, six hundred forty million, two hundred thirty-three thousand, nine hundred twenty".