7268829864 has 48 divisors (see below), whose sum is σ = 18335085600. Its totient is φ = 2401400064.

The previous prime is 7268829847. The next prime is 7268829877. The reversal of 7268829864 is 4689288627.

It is a junction number, because it is equal to n+sod(n) for n = 7268829798 and 7268829807.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 294597 + ... + 318315.

It is an arithmetic number, because the mean of its divisors is an integer number (381980950).

Almost surely, 2^7268829864 is an apocalyptic number.

It is an amenable number.

7268829864 is an abundant number, since it is smaller than the sum of its proper divisors (11066255736).

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

7268829864 is a wasteful number, since it uses less digits than its factorization.

7268829864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23954 (or 23837 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 7268829864 is about 85257.4328959065. The cubic root of 7268829864 is about 1937.1124598405.

The spelling of 7268829864 in words is "seven billion, two hundred sixty-eight million, eight hundred twenty-nine thousand, eight hundred sixty-four".