6847589904100 has 81 divisors (see below), whose sum is σ = 16333603315771. Its totient is φ = 2489928020800.

The previous prime is 6847589904097. The next prime is 6847589904109. The reversal of 6847589904100 is 14099857486.

The square root of 6847589904100 is 2616790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1533421562596 + 5314168341504 = 1238314^2 + 2305248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6847589904109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287835006 + ... + 287858794.

Almost surely, 2^{6847589904100} is an apocalyptic number.

6847589904100 is the 2616790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6847589904100

6847589904100 is an abundant number, since it is smaller than the sum of its proper divisors (9486013411671).

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

6847589904100 is an equidigital number, since it uses as much as digits as its factorization.

6847589904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47614 (or 23807 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 6847589904100 in words is "six trillion, eight hundred forty-seven billion, five hundred eighty-nine million, nine hundred four thousand, one hundred".