6873864360 has 256 divisors, whose sum is σ = 23380254720. Its totient is φ = 1601664000.

The previous prime is 6873864353. The next prime is 6873864367. The reversal of 6873864360 is 634683786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6873864353) and next prime (6873864367).

It is a super-2 number, since 2×6873864360² = 94500022479356419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6873864367) 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 63 ways as a sum of consecutive naturals, for example, 7078675 + ... + 7079645.

It is an arithmetic number, because the mean of its divisors is an integer number (91329120).

Almost surely, 2^6873864360 is an apocalyptic number.

6873864360 is a gapful number since it is divisible by the number (60) 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 6873864360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690127360).

6873864360 is an abundant number, since it is smaller than the sum of its proper divisors (16506390360).

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

6873864360 is a wasteful number, since it uses less digits than its factorization.

6873864360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 6873864360 is about 82908.7713091926. The cubic root of 6873864360 is about 1901.3715267988.

The spelling of 6873864360 in words is "six billion, eight hundred seventy-three million, eight hundred sixty-four thousand, three hundred sixty".