7092126720 has 660 divisors, whose sum is σ = 29648133900. Its totient is φ = 1616412672.

The previous prime is 7092126719. The next prime is 7092126721. The reversal of 7092126720 is 276212907.

It is an interprime number because it is at equal distance from previous prime (7092126719) and next prime (7092126721).

It can be written as a sum of positive squares in 2 ways, for example, as 3905750016 + 3186376704 = 62496^2 + 56448^2 .

It is a super-2 number, since 2×7092126720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7092126721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321106 + ... + 20321454.

It is an arithmetic number, because the mean of its divisors is an integer number (44921415).

Almost surely, 2^7092126720 is an apocalyptic number.

7092126720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7092126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824066950).

7092126720 is an abundant number, since it is smaller than the sum of its proper divisors (22556007180).

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

7092126720 is a wasteful number, since it uses less digits than its factorization.

7092126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7092126720 is about 84214.7654511963. The cubic root of 7092126720 is about 1921.2866376010.

The spelling of 7092126720 in words is "seven billion, ninety-two million, one hundred twenty-six thousand, seven hundred twenty".