7182288960 has 560 divisors, whose sum is σ = 29060119680. Its totient is φ = 1471979520.

The previous prime is 7182288943. The next prime is 7182288961. The reversal of 7182288960 is 698822817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is not an unprimeable number, because it can be changed into a prime (7182288961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98387484 + ... + 98387556.

Almost surely, 2^7182288960 is an apocalyptic number.

7182288960 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 7182288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530059840).

7182288960 is an abundant number, since it is smaller than the sum of its proper divisors (21877830720).

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

7182288960 is an equidigital number, since it uses as much as digits as its factorization.

7182288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 7182288960 is about 84748.3861793250. The cubic root of 7182288960 is about 1929.3941524153.

The spelling of 7182288960 in words is "seven billion, one hundred eighty-two million, two hundred eighty-eight thousand, nine hundred sixty".