65832270084 has 243 divisors, whose sum is σ = 199755379551. Its totient is φ = 18227301120.

The previous prime is 65832270067. The next prime is 65832270089. The reversal of 65832270084 is 48007223856.

The square root of 65832270084 is 256578.

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

65832270084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46622310084 + 19209960000 = 215922^2 + 138600^2 .

It is not an unprimeable number, because it can be changed into a prime (65832270089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 441827242 + ... + 441827390.

Almost surely, 2^65832270084 is an apocalyptic number.

65832270084 is the 256578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65832270084

65832270084 is an abundant number, since it is smaller than the sum of its proper divisors (133923109467).

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

65832270084 is a wasteful number, since it uses less digits than its factorization.

65832270084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 65832270084 in words is "sixty-five billion, eight hundred thirty-two million, two hundred seventy thousand, eighty-four".