7261184960 has 56 divisors (see below), whose sum is σ = 17380433616. Its totient is φ = 2889400320.

The previous prime is 7261184927. The next prime is 7261185011. The reversal of 7261184960 is 694811627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2975 + ... + 120545.

It is an arithmetic number, because the mean of its divisors is an integer number (310364886).

Almost surely, 2^7261184960 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 7261184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690216808).

7261184960 is an abundant number, since it is smaller than the sum of its proper divisors (10119248656).

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

7261184960 is a wasteful number, since it uses less digits than its factorization.

7261184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117781 (or 117771 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 7261184960 is about 85212.5868636788. The cubic root of 7261184960 is about 1936.4331100759.

The spelling of 7261184960 in words is "seven billion, two hundred sixty-one million, one hundred eighty-four thousand, nine hundred sixty".