6876354720 has 384 divisors, whose sum is σ = 23281655040. Its totient is φ = 1703116800.

The previous prime is 6876354703. The next prime is 6876354721. The reversal of 6876354720 is 274536786.

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 6876354720.

It is not an unprimeable number, because it can be changed into a prime (6876354721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68082670 + ... + 68082770.

It is an arithmetic number, because the mean of its divisors is an integer number (60629310).

Almost surely, 2^6876354720 is an apocalyptic number.

6876354720 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 6876354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640827520).

6876354720 is an abundant number, since it is smaller than the sum of its proper divisors (16405300320).

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

6876354720 is a wasteful number, since it uses less digits than its factorization.

6876354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 6876354720 is about 82923.7886254602. The cubic root of 6876354720 is about 1901.6011175903.

The spelling of 6876354720 in words is "six billion, eight hundred seventy-six million, three hundred fifty-four thousand, seven hundred twenty".