7131340800 has 504 divisors, whose sum is σ = 26382986604. Its totient is φ = 1840250880.

The previous prime is 7131340763. The next prime is 7131340819. The reversal of 7131340800 is 80431317.

It can be written as a sum of positive squares in 6 ways, for example, as 3611529216 + 3519811584 = 60096^2 + 59328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97689564 + ... + 97689636.

Almost surely, 2^7131340800 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 7131340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191493302).

7131340800 is an abundant number, since it is smaller than the sum of its proper divisors (19251645804).

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

7131340800 is a wasteful number, since it uses less digits than its factorization.

7131340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7131340800 is about 84447.2663855971. The cubic root of 7131340800 is about 1924.8212168813.

The spelling of 7131340800 in words is "seven billion, one hundred thirty-one million, three hundred forty thousand, eight hundred".