7829542721 has 16 divisors (see below), whose sum is σ = 10512394368. Its totient is φ = 5631638400.

The previous prime is 7829542717. The next prime is 7829542751. The reversal of 7829542721 is 1272459287.

It is a cyclic number.

It is not a de Polignac number, because 7829542721 - 2² = 7829542717 is a prime.

It is a super-2 number, since 2×7829542721² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7829542751) 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 15 ways as a sum of consecutive naturals, for example, 3909860 + ... + 3911861.

It is an arithmetic number, because the mean of its divisors is an integer number (657024648).

Almost surely, 2^7829542721 is an apocalyptic number.

It is an amenable number.

7829542721 is a deficient number, since it is larger than the sum of its proper divisors (2682851647).

7829542721 is a wasteful number, since it uses less digits than its factorization.

7829542721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821752.

The product of its digits is 564480, while the sum is 47.

The square root of 7829542721 is about 88484.7033164490. The cubic root of 7829542721 is about 1985.6931274848.

The spelling of 7829542721 in words is "seven billion, eight hundred twenty-nine million, five hundred forty-two thousand, seven hundred twenty-one".