7073077264 has 120 divisors (see below), whose sum is σ = 15883280280. Its totient is φ = 3044321280.

The previous prime is 7073077247. The next prime is 7073077289. The reversal of 7073077264 is 4627703707.

It can be written as a sum of positive squares in 4 ways, for example, as 1431865600 + 5641211664 = 37840^2 + 75108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7073077264.

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 23 ways as a sum of consecutive naturals, for example, 2974444 + ... + 2976820.

It is an arithmetic number, because the mean of its divisors is an integer number (132360669).

Almost surely, 2^7073077264 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 7073077264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941640140).

7073077264 is an abundant number, since it is smaller than the sum of its proper divisors (8810203016).

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

7073077264 is a wasteful number, since it uses less digits than its factorization.

7073077264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 43.

The square root of 7073077264 is about 84101.5889505068. The cubic root of 7073077264 is about 1919.5649028555.

The spelling of 7073077264 in words is "seven billion, seventy-three million, seventy-seven thousand, two hundred sixty-four".