306274864896 has 1296 divisors, whose sum is σ = 1230661985280. Its totient is φ = 70734643200.

The previous prime is 306274864877. The next prime is 306274864897. The reversal of 306274864896 is 698468472603.

306274864896 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 74 + 86 + 489 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306274864897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3876896985 + ... + 3876897063.

Almost surely, 2^306274864896 is an apocalyptic number.

306274864896 is a gapful number since it is divisible by the number (36) 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 306274864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615330992640).

306274864896 is an abundant number, since it is smaller than the sum of its proper divisors (924387120384).

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

306274864896 is a wasteful number, since it uses less digits than its factorization.

306274864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 306274864896 in words is "three hundred six billion, two hundred seventy-four million, eight hundred sixty-four thousand, eight hundred ninety-six".