61968241728 has 224 divisors, whose sum is σ = 187827920000. Its totient is φ = 20019529728.

The previous prime is 61968241637. The next prime is 61968241729. The reversal of 61968241728 is 82714286916.

It is a happy number.

61968241728 is a `hidden beast` number, since 61 + 96 + 82 + 417 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61968241729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17708523 + ... + 17712021.

It is an arithmetic number, because the mean of its divisors is an integer number (838517500).

Almost surely, 2^61968241728 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 61968241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93913960000).

61968241728 is an abundant number, since it is smaller than the sum of its proper divisors (125859678272).

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

61968241728 is a wasteful number, since it uses less digits than its factorization.

61968241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3818 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 61968241728 in words is "sixty-one billion, nine hundred sixty-eight million, two hundred forty-one thousand, seven hundred twenty-eight".