6873388320 has 384 divisors, whose sum is σ = 24716482560. Its totient is φ = 1594736640.

The previous prime is 6873388289. The next prime is 6873388373. The reversal of 6873388320 is 238833786.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6873388320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6666205 + ... + 6667235.

It is an arithmetic number, because the mean of its divisors is an integer number (64365840).

Almost surely, 2^6873388320 is an apocalyptic number.

6873388320 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 6873388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358241280).

6873388320 is an abundant number, since it is smaller than the sum of its proper divisors (17843094240).

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

6873388320 is a wasteful number, since it uses less digits than its factorization.

6873388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 6873388320 is about 82905.9003931566. The cubic root of 6873388320 is about 1901.3276334976.

The spelling of 6873388320 in words is "six billion, eight hundred seventy-three million, three hundred eighty-eight thousand, three hundred twenty".