7000000007 has 48 divisors (see below), whose sum is σ = 10070121600. Its totient is φ = 4769876160.

The previous prime is 7000000001. The next prime is 7000000013.

7000000007 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7000000001) and next prime (7000000013).

It is not a de Polignac number, because 7000000007 - 2¹² = 6999995911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6999999928 and 7000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000000001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106844 + ... + 159422.

It is an arithmetic number, because the mean of its divisors is an integer number (209794200).

Almost surely, 2^7000000007 is an apocalyptic number.

7000000007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7000000007 is a deficient number, since it is larger than the sum of its proper divisors (3070121593).

7000000007 is a wasteful number, since it uses less digits than its factorization.

7000000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52636 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 14.

The square root of 7000000007 is about 83666.0026952406. The cubic root of 7000000007 is about 1912.9311834100.

Multiplying 7000000007 by its product of nonzero digits (49), we get a palindrome (343000000343).

It can be divided in two parts, 700000000 and 7, that multiplied together give a square (4900000000 = 70000²).

The spelling of 7000000007 in words is "seven billion, seven", and thus it is an aban number and an uban number.