7004004007 has 32 divisors (see below), whose sum is σ = 9581483520. Its totient is φ = 4942753920.

The previous prime is 7004003983. The next prime is 7004004011.

It is a happy number.

7004004007 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7004004007 - 2¹⁵ = 7003971239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7004001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12957 + ... + 119062.

It is an arithmetic number, because the mean of its divisors is an integer number (299421360).

Almost surely, 2^7004004007 is an apocalyptic number.

7004004007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7004004007 is a deficient number, since it is larger than the sum of its proper divisors (2577479513).

7004004007 is a wasteful number, since it uses less digits than its factorization.

7004004007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132103.

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 7004004007 is about 83689.9277511936. The cubic root of 7004004007 is about 1913.2958461018.

It can be divided in two parts, 700400 and 4007, that added together give a palindrome (704407).

The spelling of 7004004007 in words is "seven billion, four million, four thousand, seven".