7825984442 has 32 divisors (see below), whose sum is σ = 13126639680. Its totient is φ = 3477530880.

The previous prime is 7825984433. The next prime is 7825984469. The reversal of 7825984442 is 2444895287.

It is a super-2 number, since 2×7825984442² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178592 + ... + 218052.

It is an arithmetic number, because the mean of its divisors is an integer number (410207490).

Almost surely, 2^7825984442 is an apocalyptic number.

7825984442 is a deficient number, since it is larger than the sum of its proper divisors (5300655238).

7825984442 is a wasteful number, since it uses less digits than its factorization.

7825984442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39806.

The product of its digits is 5160960, while the sum is 53.

The square root of 7825984442 is about 88464.5942849454. The cubic root of 7825984442 is about 1985.3922703744.

The spelling of 7825984442 in words is "seven billion, eight hundred twenty-five million, nine hundred eighty-four thousand, four hundred forty-two".