305957779640864 has 96 divisors (see below), whose sum is σ = 657842691179520. Its totient is φ = 139218816844800.

The previous prime is 305957779640861. The next prime is 305957779640921. The reversal of 305957779640864 is 468046977759503.

It is a happy number.

It is a super-2 number, since 2×305957779640864² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305957779640861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399572209 + ... + 1399790799.

It is an arithmetic number, because the mean of its divisors is an integer number (6852528033120).

Almost surely, 2^{305957779640864} 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 305957779640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328921345589760).

305957779640864 is an abundant number, since it is smaller than the sum of its proper divisors (351884911538656).

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

305957779640864 is a wasteful number, since it uses less digits than its factorization.

305957779640864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266074 (or 266066 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 80.

The spelling of 305957779640864 in words is "three hundred five trillion, nine hundred fifty-seven billion, seven hundred seventy-nine million, six hundred forty thousand, eight hundred sixty-four".