7131668544 has 1344 divisors, whose sum is σ = 31133491200. Its totient is φ = 1567641600.

The previous prime is 7131668527. The next prime is 7131668549. The reversal of 7131668544 is 4458661317.

7131668544 is a `hidden beast` number, since 71 + 31 + 6 + 6 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 7131668544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131668549) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230053809 + ... + 230053839.

It is an arithmetic number, because the mean of its divisors is an integer number (23164800).

Almost surely, 2^7131668544 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 7131668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566745600).

7131668544 is an abundant number, since it is smaller than the sum of its proper divisors (24001822656).

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

7131668544 is a wasteful number, since it uses less digits than its factorization.

7131668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 7131668544 is about 84449.2068879276. The cubic root of 7131668544 is about 1924.8507035729.

The spelling of 7131668544 in words is "seven billion, one hundred thirty-one million, six hundred sixty-eight thousand, five hundred forty-four".