305936676864 has 768 divisors, whose sum is σ = 1125245721600. Its totient is φ = 79976595456.

The previous prime is 305936676833. The next prime is 305936676911. The reversal of 305936676864 is 468676639503.

It is a happy number.

305936676864 is a `hidden beast` number, since 30 + 593 + 6 + 6 + 7 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 820205382 + ... + 820205754.

It is an arithmetic number, because the mean of its divisors is an integer number (1465163700).

Almost surely, 2^305936676864 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 305936676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562622860800).

305936676864 is an abundant number, since it is smaller than the sum of its proper divisors (819309044736).

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

305936676864 is a wasteful number, since it uses less digits than its factorization.

305936676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 305936676864 in words is "three hundred five billion, nine hundred thirty-six million, six hundred seventy-six thousand, eight hundred sixty-four".