61768880992 has 144 divisors (see below), whose sum is σ = 156462742800. Its totient is φ = 23775316992.

The previous prime is 61768880989. The next prime is 61768881007. The reversal of 61768880992 is 29908886716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713259 + ... + 795157.

It is an arithmetic number, because the mean of its divisors is an integer number (1086546825).

Almost surely, 2^61768880992 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 61768880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78231371400).

61768880992 is an abundant number, since it is smaller than the sum of its proper divisors (94693861808).

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

61768880992 is a wasteful number, since it uses less digits than its factorization.

61768880992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81973 (or 81958 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

The spelling of 61768880992 in words is "sixty-one billion, seven hundred sixty-eight million, eight hundred eighty thousand, nine hundred ninety-two".