306347028480 has 1092 divisors, whose sum is σ = 1187351240112. Its totient is φ = 75804180480.

The previous prime is 306347028461. The next prime is 306347028511. The reversal of 306347028480 is 84820743603.

306347028480 is a `hidden beast` number, since 3 + 0 + 634 + 7 + 0 + 2 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×306347028480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4314746845 + ... + 4314746915.

Almost surely, 2^306347028480 is an apocalyptic number.

306347028480 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 306347028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593675620056).

306347028480 is an abundant number, since it is smaller than the sum of its proper divisors (881004211632).

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

306347028480 is an frugal number, since it uses more digits than its factorization.

306347028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 306347028480 in words is "three hundred six billion, three hundred forty-seven million, twenty-eight thousand, four hundred eighty".