68124132036 has 81 divisors (see below), whose sum is σ = 176671686919. Its totient is φ = 22133308800.

The previous prime is 68124132001. The next prime is 68124132053. The reversal of 68124132036 is 63023142186.

The square root of 68124132036 is 261006.

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

68124132036 is a `hidden beast` number, since 68 + 1 + 241 + 320 + 36 = 666.

68124132036 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 10466517636 + 57657614400 = 102306^2 + 240120^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64206946 + ... + 64208006.

Almost surely, 2^68124132036 is an apocalyptic number.

68124132036 is the 261006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68124132036

68124132036 is an abundant number, since it is smaller than the sum of its proper divisors (108547554883).

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

68124132036 is a wasteful number, since it uses less digits than its factorization.

68124132036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 68124132036 by its sum of digits (36), we get a square (2452468753296 = 1566036²).

68124132036 divided by its sum of digits (36) gives a square (1892337001 = 43501²).

The spelling of 68124132036 in words is "sixty-eight billion, one hundred twenty-four million, one hundred thirty-two thousand, thirty-six".