6724884276 has 144 divisors (see below), whose sum is σ = 20291927040. Its totient is φ = 1917907200.

The previous prime is 6724884239. The next prime is 6724884289.

It is a happy number.

6724884276 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207021 + ... + 237291.

It is an arithmetic number, because the mean of its divisors is an integer number (140916160).

Almost surely, 2^6724884276 is an apocalyptic number.

6724884276 is a gapful number since it is divisible by the number (66) 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 6724884276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145963520).

6724884276 is an abundant number, since it is smaller than the sum of its proper divisors (13567042764).

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

6724884276 is a wasteful number, since it uses less digits than its factorization.

6724884276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30323 (or 30304 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 6724884276 is about 82005.3917495673. The cubic root of 6724884276 is about 1887.5346742515.

The spelling of 6724884276 in words is "six billion, seven hundred twenty-four million, eight hundred eighty-four thousand, two hundred seventy-six".