7131697920 has 288 divisors, whose sum is σ = 25901568000. Its totient is φ = 1857171456.

The previous prime is 7131697919. The next prime is 7131697939. The reversal of 7131697920 is 297961317.

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

It is a super-2 number, since 2×7131697920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1483681 + ... + 1488479.

It is an arithmetic number, because the mean of its divisors is an integer number (89936000).

Almost surely, 2^7131697920 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 7131697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784000).

7131697920 is an abundant number, since it is smaller than the sum of its proper divisors (18769870080).

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

7131697920 is a wasteful number, since it uses less digits than its factorization.

7131697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 7131697920 is about 84449.3808147816. The cubic root of 7131697920 is about 1924.8533464484.

The spelling of 7131697920 in words is "seven billion, one hundred thirty-one million, six hundred ninety-seven thousand, nine hundred twenty".