7287993306 has 144 divisors (see below), whose sum is σ = 18512833248. Its totient is φ = 2131012800.

The previous prime is 7287993299. The next prime is 7287993311. The reversal of 7287993306 is 6033997827.

It is a super-2 number, since 2×7287993306² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4495176 + ... + 4496796.

It is an arithmetic number, because the mean of its divisors is an integer number (128561342).

Almost surely, 2^7287993306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7287993306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256416624).

7287993306 is an abundant number, since it is smaller than the sum of its proper divisors (11224839942).

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

7287993306 is a wasteful number, since it uses less digits than its factorization.

7287993306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7287993306 is about 85369.7446757339. The cubic root of 7287993306 is about 1938.8132914850.

The spelling of 7287993306 in words is "seven billion, two hundred eighty-seven million, nine hundred ninety-three thousand, three hundred six".