7286398480 has 80 divisors (see below), whose sum is σ = 17616930480. Its totient is φ = 2799304704.

The previous prime is 7286398477. The next prime is 7286398481. The reversal of 7286398480 is 848936827.

It can be written as a sum of positive squares in 8 ways, for example, as 79067664 + 7207330816 = 8892^2 + 84896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7286398481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439624 + ... + 455896.

It is an arithmetic number, because the mean of its divisors is an integer number (220211631).

Almost surely, 2^7286398480 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 7286398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808465240).

7286398480 is an abundant number, since it is smaller than the sum of its proper divisors (10330532000).

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

7286398480 is a wasteful number, since it uses less digits than its factorization.

7286398480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16502 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The square root of 7286398480 is about 85360.4034667128. The cubic root of 7286398480 is about 1938.6718581581.

The spelling of 7286398480 in words is "seven billion, two hundred eighty-six million, three hundred ninety-eight thousand, four hundred eighty".