7131712896 has 288 divisors, whose sum is σ = 25783539600. Its totient is φ = 1852139520.

The previous prime is 7131712867. The next prime is 7131712957. The reversal of 7131712896 is 6982171317.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7131712896² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972090 + ... + 979398.

Almost surely, 2^7131712896 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 7131712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891769800).

7131712896 is an abundant number, since it is smaller than the sum of its proper divisors (18651826704).

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

7131712896 is a wasteful number, since it uses less digits than its factorization.

7131712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7332 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 7131712896 is about 84449.4694832360. The cubic root of 7131712896 is about 1924.8546937939.

It can be divided in two parts, 7131 and 712896, that added together give a palindrome (720027).

The spelling of 7131712896 in words is "seven billion, one hundred thirty-one million, seven hundred twelve thousand, eight hundred ninety-six".