7744704016 has 75 divisors (see below), whose sum is σ = 17544290381. Its totient is φ = 3311766528.

The previous prime is 7744704001. The next prime is 7744704017. The reversal of 7744704016 is 6104074477.

The square root of 7744704016 is 88004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4732889616 + 3011814400 = 68796^2 + 54880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7744704016.

It is not an unprimeable number, because it can be changed into a prime (7744704017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17248560 + ... + 17249008.

Almost surely, 2^7744704016 is an apocalyptic number.

7744704016 is the 88004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7744704016

7744704016 is an abundant number, since it is smaller than the sum of its proper divisors (9799586365).

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

7744704016 is an frugal number, since it uses more digits than its factorization.

7744704016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The cubic root of 7744704016 is about 1978.4949294204.

The spelling of 7744704016 in words is "seven billion, seven hundred forty-four million, seven hundred four thousand, sixteen".