7225320960 has 1280 divisors, whose sum is σ = 32667909120. Its totient is φ = 1486356480.

The previous prime is 7225320929. The next prime is 7225320979. The reversal of 7225320960 is 690235227.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168030699 + ... + 168030741.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^7225320960 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 7225320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

7225320960 is an abundant number, since it is smaller than the sum of its proper divisors (25442588160).

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

7225320960 is a wasteful number, since it uses less digits than its factorization.

7225320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7225320960 is about 85001.8879790326. The cubic root of 7225320960 is about 1933.2397428601.

The spelling of 7225320960 in words is "seven billion, two hundred twenty-five million, three hundred twenty thousand, nine hundred sixty".