7248664080 has 600 divisors, whose sum is σ = 30126261528. Its totient is φ = 1609445376.

The previous prime is 7248664013. The next prime is 7248664081. The reversal of 7248664080 is 804668427.

It can be written as a sum of positive squares in 4 ways, for example, as 416649744 + 6832014336 = 20412^2 + 82656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7248664081) 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 119 ways as a sum of consecutive naturals, for example, 11747932 + ... + 11748548.

Almost surely, 2^7248664080 is an apocalyptic number.

7248664080 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 7248664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063130764).

7248664080 is an abundant number, since it is smaller than the sum of its proper divisors (22877597448).

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

7248664080 is a wasteful number, since it uses less digits than its factorization.

7248664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7248664080 is about 85139.0866758623. The cubic root of 7248664080 is about 1935.3194352754.

The spelling of 7248664080 in words is "seven billion, two hundred forty-eight million, six hundred sixty-four thousand, eighty".