7285738768 has 80 divisors (see below), whose sum is σ = 17619765120. Its totient is φ = 2835302400.

The previous prime is 7285738763. The next prime is 7285738771. The reversal of 7285738768 is 8678375827.

It is not an unprimeable number, because it can be changed into a prime (7285738763) 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 15 ways as a sum of consecutive naturals, for example, 1240158 + ... + 1246018.

It is an arithmetic number, because the mean of its divisors is an integer number (220247064).

Almost surely, 2^7285738768 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 7285738768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809882560).

7285738768 is an abundant number, since it is smaller than the sum of its proper divisors (10334026352).

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

7285738768 is a wasteful number, since it uses less digits than its factorization.

7285738768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6890 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 61.

The square root of 7285738768 is about 85356.5391050973. The cubic root of 7285738768 is about 1938.6133471441.

The spelling of 7285738768 in words is "seven billion, two hundred eighty-five million, seven hundred thirty-eight thousand, seven hundred sixty-eight".