7584249216 has 128 divisors (see below), whose sum is σ = 20446675200. Its totient is φ = 2490624000.

The previous prime is 7584249203. The next prime is 7584249217. The reversal of 7584249216 is 6129424857.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7584249216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7584249217) 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 15 ways as a sum of consecutive naturals, for example, 8059306 + ... + 8060246.

It is an arithmetic number, because the mean of its divisors is an integer number (159739650).

Almost surely, 2^7584249216 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 7584249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223337600).

7584249216 is an abundant number, since it is smaller than the sum of its proper divisors (12862425984).

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

7584249216 is a wasteful number, since it uses less digits than its factorization.

7584249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 7584249216 is about 87087.5950753033. The cubic root of 7584249216 is about 1964.7359801703.

The spelling of 7584249216 in words is "seven billion, five hundred eighty-four million, two hundred forty-nine thousand, two hundred sixteen".