305712340680 has 128 divisors (see below), whose sum is σ = 930434169600. Its totient is φ = 80347238400.

The previous prime is 305712340669. The next prime is 305712340691. The reversal of 305712340680 is 86043217503.

It is an interprime number because it is at equal distance from previous prime (305712340669) and next prime (305712340691).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275460 + ... + 3367500.

It is an arithmetic number, because the mean of its divisors is an integer number (7269016950).

Almost surely, 2^305712340680 is an apocalyptic number.

305712340680 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 305712340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465217084800).

305712340680 is an abundant number, since it is smaller than the sum of its proper divisors (624721828920).

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

305712340680 is a wasteful number, since it uses less digits than its factorization.

305712340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92455 (or 92451 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 305712340680 in words is "three hundred five billion, seven hundred twelve million, three hundred forty thousand, six hundred eighty".