61755642166736 has 80 divisors (see below), whose sum is σ = 143978489727360. Its totient is φ = 25067314736640.

The previous prime is 61755642166723. The next prime is 61755642166819. The reversal of 61755642166736 is 63766124655716.

61755642166736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4630946 + ... + 12039806.

It is an arithmetic number, because the mean of its divisors is an integer number (1799731121592).

Almost surely, 2^{61755642166736} 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 61755642166736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71989244863680).

61755642166736 is an abundant number, since it is smaller than the sum of its proper divisors (82222847560624).

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

61755642166736 is a wasteful number, since it uses less digits than its factorization.

61755642166736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412812 (or 7412806 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 65.

The spelling of 61755642166736 in words is "sixty-one trillion, seven hundred fifty-five billion, six hundred forty-two million, one hundred sixty-six thousand, seven hundred thirty-six".