7027468900 has 81 divisors (see below), whose sum is σ = 15589891723. Its totient is φ = 2749624000.

The previous prime is 7027468849. The next prime is 7027468919. The reversal of 7027468900 is 98647207.

The square root of 7027468900 is 83830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1297584484 + 5729884416 = 36022^2 + 75696^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 69578850 + ... + 69578950.

Almost surely, 2^7027468900 is an apocalyptic number.

7027468900 is the 83830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7027468900

7027468900 is an abundant number, since it is smaller than the sum of its proper divisors (8562422823).

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

7027468900 is a wasteful number, since it uses less digits than its factorization.

7027468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The cubic root of 7027468900 is about 1915.4301128794.

The spelling of 7027468900 in words is "seven billion, twenty-seven million, four hundred sixty-eight thousand, nine hundred".