304142630768640 has 3744 divisors, whose sum is σ = 1228364226625536. Its totient is φ = 72056332615680.

The previous prime is 304142630768629. The next prime is 304142630768723. The reversal of 304142630768640 is 46867036241403.

304142630768640 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 426 + 30 + 76 + 86 + 40 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2394823864257 + ... + 2394823864383.

It is an arithmetic number, because the mean of its divisors is an integer number (328088735744).

Almost surely, 2^{304142630768640} is an apocalyptic number.

304142630768640 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 304142630768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614182113312768).

304142630768640 is an abundant number, since it is smaller than the sum of its proper divisors (924221595856896).

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

304142630768640 is a wasteful number, since it uses less digits than its factorization.

304142630768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 304142630768640 in words is "three hundred four trillion, one hundred forty-two billion, six hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".