61178768000 has 128 divisors (see below), whose sum is σ = 173835417600. Its totient is φ = 20975539200.

The previous prime is 61178767961. The next prime is 61178768069. The reversal of 61178768000 is 86787116.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 161120 + ... + 385119.

It is an arithmetic number, because the mean of its divisors is an integer number (1358089200).

Almost surely, 2^61178768000 is an apocalyptic number.

It is an amenable number.

61178768000 is an abundant number, since it is smaller than the sum of its proper divisors (112656649600).

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

61178768000 is an equidigital number, since it uses as much as digits as its factorization.

61178768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546275 (or 546253 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 61178768000 in words is "sixty-one billion, one hundred seventy-eight million, seven hundred sixty-eight thousand".