6301984680 has 80 divisors (see below), whose sum is σ = 21181681620. Its totient is φ = 1680528384.

The previous prime is 6301984679. The next prime is 6301984687. The reversal of 6301984680 is 864891036.

6301984680 is a `hidden beast` number, since 630 + 1 + 9 + 8 + 4 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5390790084 + 911194596 = 73422^2 + 30186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6301984687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 969289 + ... + 975768.

Almost surely, 2^6301984680 is an apocalyptic number.

6301984680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6301984680 is an abundant number, since it is smaller than the sum of its proper divisors (14879696940).

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

6301984680 is a wasteful number, since it uses less digits than its factorization.

6301984680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945080 (or 1945067 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6301984680 is about 79385.0406562849. The cubic root of 6301984680 is about 1847.1086737239.

The spelling of 6301984680 in words is "six billion, three hundred one million, nine hundred eighty-four thousand, six hundred eighty".