7248905664 has 224 divisors, whose sum is σ = 25752039936. Its totient is φ = 1737953280.

The previous prime is 7248905663. The next prime is 7248905681. The reversal of 7248905664 is 4665098427.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7248905663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173334 + ... + 211050.

It is an arithmetic number, because the mean of its divisors is an integer number (114964464).

Almost surely, 2^7248905664 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 7248905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876019968).

7248905664 is an abundant number, since it is smaller than the sum of its proper divisors (18503134272).

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

7248905664 is a wasteful number, since it uses less digits than its factorization.

7248905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37763 (or 37753 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 7248905664 is about 85140.5054248564. The cubic root of 7248905664 is about 1935.3409351918.

The spelling of 7248905664 in words is "seven billion, two hundred forty-eight million, nine hundred five thousand, six hundred sixty-four".