6812430480 has 100 divisors (see below), whose sum is σ = 23660602812. Its totient is φ = 1816646400.

The previous prime is 6812430461. The next prime is 6812430497. The reversal of 6812430480 is 840342186.

It can be written as a sum of positive squares in 2 ways, for example, as 5309162496 + 1503267984 = 72864^2 + 38772^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519171 + ... + 532130.

Almost surely, 2^6812430480 is an apocalyptic number.

6812430480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6812430480 is an abundant number, since it is smaller than the sum of its proper divisors (16848172332).

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

6812430480 is a wasteful number, since it uses less digits than its factorization.

6812430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051326 (or 1051311 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6812430480 is about 82537.4489550047. The cubic root of 6812430480 is about 1895.6901833139.

The spelling of 6812430480 in words is "six billion, eight hundred twelve million, four hundred thirty thousand, four hundred eighty".