7271681844 has 96 divisors (see below), whose sum is σ = 19580230656. Its totient is φ = 2057472000.

The previous prime is 7271681789. The next prime is 7271681917. The reversal of 7271681844 is 4481861727.

It is a junction number, because it is equal to n+sod(n) for n = 7271681793 and 7271681802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4068319 + ... + 4070105.

It is an arithmetic number, because the mean of its divisors is an integer number (203960736).

Almost surely, 2^7271681844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271681844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790115328).

7271681844 is an abundant number, since it is smaller than the sum of its proper divisors (12308548812).

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

7271681844 is a wasteful number, since it uses less digits than its factorization.

7271681844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2243 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 7271681844 is about 85274.1569527369. The cubic root of 7271681844 is about 1937.3657735885.

The spelling of 7271681844 in words is "seven billion, two hundred seventy-one million, six hundred eighty-one thousand, eight hundred forty-four".