6873310080 has 1280 divisors, whose sum is σ = 31848284160. Its totient is φ = 1373552640.

The previous prime is 6873310027. The next prime is 6873310121. The reversal of 6873310080 is 800133786.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146240617 + ... + 146240663.

It is an arithmetic number, because the mean of its divisors is an integer number (24881472).

Almost surely, 2^6873310080 is an apocalyptic number.

6873310080 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 6873310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924142080).

6873310080 is an abundant number, since it is smaller than the sum of its proper divisors (24974974080).

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

6873310080 is a wasteful number, since it uses less digits than its factorization.

6873310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6873310080 is about 82905.4285315503. The cubic root of 6873310080 is about 1901.3204191790.

The spelling of 6873310080 in words is "six billion, eight hundred seventy-three million, three hundred ten thousand, eighty".