301424467968 has 560 divisors, whose sum is σ = 983781325296. Its totient is φ = 91410923520.

The previous prime is 301424467961. The next prime is 301424467979. The reversal of 301424467968 is 869764424103.

301424467968 is a `hidden beast` number, since 30 + 1 + 42 + 446 + 79 + 68 = 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 (301424467961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 715972398 + ... + 715972818.

Almost surely, 2^301424467968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301424467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491890662648).

301424467968 is an abundant number, since it is smaller than the sum of its proper divisors (682356857328).

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

301424467968 is an equidigital number, since it uses as much as digits as its factorization.

301424467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 301424467968 in words is "three hundred one billion, four hundred twenty-four million, four hundred sixty-seven thousand, nine hundred sixty-eight".