7744352004 has 45 divisors (see below), whose sum is σ = 20249407717. Its totient is φ = 2580922656.

The previous prime is 7744351991. The next prime is 7744352047. The reversal of 7744352004 is 4002534477.

The square root of 7744352004 is 88002.

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

7744352004 is a `hidden beast` number, since 7 + 7 + 443 + 5 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5417254404 + 2327097600 = 73602^2 + 48240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7744352004.

It is an unprimeable number.

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, 1581592 + ... + 1586480.

Almost surely, 2^7744352004 is an apocalyptic number.

7744352004 is the 88002-nd square number.

It is an amenable number.

7744352004 is an abundant number, since it is smaller than the sum of its proper divisors (12505055713).

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

7744352004 is an frugal number, since it uses more digits than its factorization.

7744352004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The cubic root of 7744352004 is about 1978.4649534735.

Multiplying 7744352004 by its sum of digits (36), we get a square (278796672144 = 528012²).

7744352004 divided by its sum of digits (36) gives a square (215120889 = 14667²).

The spelling of 7744352004 in words is "seven billion, seven hundred forty-four million, three hundred fifty-two thousand, four".