430264560768 has 512 divisors, whose sum is σ = 1442996121600. Its totient is φ = 110872903680.

The previous prime is 430264560757. The next prime is 430264560773. The reversal of 430264560768 is 867065462034.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 430264560768.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77091738 + ... + 77097318.

It is an arithmetic number, because the mean of its divisors is an integer number (2818351800).

Almost surely, 2^430264560768 is an apocalyptic number.

430264560768 is a gapful number since it is divisible by the number (48) 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 430264560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721498060800).

430264560768 is an abundant number, since it is smaller than the sum of its proper divisors (1012731560832).

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

430264560768 is a wasteful number, since it uses less digits than its factorization.

430264560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 430264560768 in words is "four hundred thirty billion, two hundred sixty-four million, five hundred sixty thousand, seven hundred sixty-eight".