6872410000 has 75 divisors (see below), whose sum is σ = 16658886981. Its totient is φ = 2745648000.

The previous prime is 6872409979. The next prime is 6872410003. The reversal of 6872410000 is 142786.

The square root of 6872410000 is 82900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4823580304 + 2048829696 = 69452^2 + 45264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6872410003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8289586 + ... + 8290414.

Almost surely, 2^6872410000 is an apocalyptic number.

6872410000 is the 82900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872410000

6872410000 is an abundant number, since it is smaller than the sum of its proper divisors (9786476981).

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

6872410000 is an frugal number, since it uses more digits than its factorization.

6872410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 6872410000 is about 1901.2374210714.

Adding to 6872410000 its reverse (142786), we get a palindrome (6872552786).

The spelling of 6872410000 in words is "six billion, eight hundred seventy-two million, four hundred ten thousand".