7248864000 has 864 divisors, whose sum is σ = 29662004736. Its totient is φ = 1561190400.

The previous prime is 7248863953. The next prime is 7248864017. The reversal of 7248864000 is 4688427.

It is a self number, because there is not a number n which added to its sum of digits gives 7248864000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108191967 + ... + 108192033.

It is an arithmetic number, because the mean of its divisors is an integer number (34331024).

Almost surely, 2^7248864000 is an apocalyptic number.

7248864000 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 7248864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831002368).

7248864000 is an abundant number, since it is smaller than the sum of its proper divisors (22413140736).

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

7248864000 is a wasteful number, since it uses less digits than its factorization.

7248864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 7248864000 is about 85140.2607466057. The cubic root of 7248864000 is about 1935.3372273126.

The spelling of 7248864000 in words is "seven billion, two hundred forty-eight million, eight hundred sixty-four thousand".