304641797120352 has 480 divisors, whose sum is σ = 947707123144320. Its totient is φ = 95733431470080.

The previous prime is 304641797120329. The next prime is 304641797120357. The reversal of 304641797120352 is 253021797146403.

304641797120352 is a `hidden beast` number, since 3 + 0 + 46 + 41 + 7 + 97 + 120 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304641797120357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10606182663 + ... + 10606211385.

It is an arithmetic number, because the mean of its divisors is an integer number (1974389839884).

Almost surely, 2^{304641797120352} is an apocalyptic number.

304641797120352 is a gapful number since it is divisible by the number (32) 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 304641797120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473853561572160).

304641797120352 is an abundant number, since it is smaller than the sum of its proper divisors (643065326023968).

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

304641797120352 is a wasteful number, since it uses less digits than its factorization.

304641797120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29808 (or 29791 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 304641797120352 in words is "three hundred four trillion, six hundred forty-one billion, seven hundred ninety-seven million, one hundred twenty thousand, three hundred fifty-two".