306427968000 has 2560 divisors, whose sum is σ = 1470763008000. Its totient is φ = 62318592000.

The previous prime is 306427967999. The next prime is 306427968017. The reversal of 306427968000 is 869724603.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6519743977 + ... + 6519744023.

It is an arithmetic number, because the mean of its divisors is an integer number (574516800).

Almost surely, 2^306427968000 is an apocalyptic number.

306427968000 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 306427968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504000).

306427968000 is an abundant number, since it is smaller than the sum of its proper divisors (1164335040000).

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

306427968000 is an equidigital number, since it uses as much as digits as its factorization.

306427968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 306427968000 in words is "three hundred six billion, four hundred twenty-seven million, nine hundred sixty-eight thousand".