306368674920 has 1536 divisors, whose sum is σ = 1381266432000. Its totient is φ = 59615170560.

The previous prime is 306368674907. The next prime is 306368674951. The reversal of 306368674920 is 29476863603.

306368674920 is a `hidden beast` number, since 30 + 6 + 3 + 68 + 67 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1539540981 + ... + 1539541179.

It is an arithmetic number, because the mean of its divisors is an integer number (899262000).

Almost surely, 2^306368674920 is an apocalyptic number.

306368674920 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 306368674920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690633216000).

306368674920 is an abundant number, since it is smaller than the sum of its proper divisors (1074897757080).

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

306368674920 is a wasteful number, since it uses less digits than its factorization.

306368674920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 306368674920 in words is "three hundred six billion, three hundred sixty-eight million, six hundred seventy-four thousand, nine hundred twenty".