7008971872 has 48 divisors (see below), whose sum is σ = 15813342720. Its totient is φ = 2995625088.

The previous prime is 7008971869. The next prime is 7008971873. The reversal of 7008971872 is 2781798007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7008971873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39579 + ... + 124837.

It is an arithmetic number, because the mean of its divisors is an integer number (329444640).

Almost surely, 2^7008971872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906671360).

7008971872 is an abundant number, since it is smaller than the sum of its proper divisors (8804370848).

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

7008971872 is a wasteful number, since it uses less digits than its factorization.

7008971872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85643 (or 85635 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 49.

The square root of 7008971872 is about 83719.6026746425. The cubic root of 7008971872 is about 1913.7480992739.

The spelling of 7008971872 in words is "seven billion, eight million, nine hundred seventy-one thousand, eight hundred seventy-two".