61728399382716 has 288 divisors, whose sum is σ = 175534084829376. Its totient is φ = 18133217280000.

The previous prime is 61728399382711. The next prime is 61728399382717.

61728399382716 is a `hidden beast` number, since 6 + 1 + 72 + 83 + 99 + 382 + 7 + 16 = 666.

61728399382716 is nontrivially palindromic in base 10.

61728399382716 is a nontrivial binomial coefficient, being equal to C(11111112, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61728399382711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399922836 + ... + 400077156.

It is an arithmetic number, because the mean of its divisors is an integer number (609493350102).

Almost surely, 2^{61728399382716} is an apocalyptic number.

61728399382716 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

61728399382716 is the 11111111-st triangular number and also the 5555556-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61728399382716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87767042414688).

61728399382716 is an abundant number, since it is smaller than the sum of its proper divisors (113805685446660).

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

61728399382716 is a wasteful number, since it uses less digits than its factorization.

61728399382716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154653 (or 154648 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

It can be divided in two parts, 617283 and 99382716, that added together give a palindrome (99999999).

The spelling of 61728399382716 in words is "sixty-one trillion, seven hundred twenty-eight billion, three hundred ninety-nine million, three hundred eighty-two thousand, seven hundred sixteen".