306393649920 has 1152 divisors, whose sum is σ = 1182524313600. Its totient is φ = 74937139200.

The previous prime is 306393649907. The next prime is 306393650023. The reversal of 306393649920 is 29946393603.

It is a happy number.

306393649920 is a `hidden beast` number, since 3 + 0 + 63 + 93 + 6 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×306393649920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3442625236 + ... + 3442625324.

It is an arithmetic number, because the mean of its divisors is an integer number (1026496800).

Almost surely, 2^306393649920 is an apocalyptic number.

306393649920 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 306393649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591262156800).

306393649920 is an abundant number, since it is smaller than the sum of its proper divisors (876130663680).

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

306393649920 is a wasteful number, since it uses less digits than its factorization.

306393649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 306393649920 in words is "three hundred six billion, three hundred ninety-three million, six hundred forty-nine thousand, nine hundred twenty".