7360267264 has 99 divisors (see below), whose sum is σ = 17160330567. Its totient is φ = 3146164224.

The previous prime is 7360267261. The next prime is 7360267289. The reversal of 7360267264 is 4627620637.

It is a happy number.

The square root of 7360267264 is 85792.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7360267264.

It is not an unprimeable number, because it can be changed into a prime (7360267261) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 19217217 + ... + 19217599.

Almost surely, 2^7360267264 is an apocalyptic number.

7360267264 is the 85792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7360267264

7360267264 is an abundant number, since it is smaller than the sum of its proper divisors (9800063303).

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

7360267264 is an frugal number, since it uses more digits than its factorization.

7360267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The cubic root of 7360267264 is about 1945.2011972596.

The spelling of 7360267264 in words is "seven billion, three hundred sixty million, two hundred sixty-seven thousand, two hundred sixty-four".