6873736140 has 288 divisors, whose sum is σ = 23053814784. Its totient is φ = 1713208320.

The previous prime is 6873736127. The next prime is 6873736169. The reversal of 6873736140 is 416373786.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22389867 + ... + 22390173.

It is an arithmetic number, because the mean of its divisors is an integer number (80047968).

Almost surely, 2^6873736140 is an apocalyptic number.

6873736140 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 6873736140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526907392).

6873736140 is an abundant number, since it is smaller than the sum of its proper divisors (16180078644).

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

6873736140 is a wasteful number, since it uses less digits than its factorization.

6873736140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6873736140 is about 82907.9980460269. The cubic root of 6873736140 is about 1901.3597044642.

The spelling of 6873736140 in words is "six billion, eight hundred seventy-three million, seven hundred thirty-six thousand, one hundred forty".