61778716160 has 160 divisors (see below), whose sum is σ = 169656284160. Its totient is φ = 21134794752.

The previous prime is 61778716133. The next prime is 61778716177. The reversal of 61778716160 is 6161787716.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 61778716099 and 61778716108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8723501 + ... + 8730579.

It is an arithmetic number, because the mean of its divisors is an integer number (1060351776).

Almost surely, 2^61778716160 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 61778716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84828142080).

61778716160 is an abundant number, since it is smaller than the sum of its proper divisors (107877568000).

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

61778716160 is an equidigital number, since it uses as much as digits as its factorization.

61778716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 50.

The spelling of 61778716160 in words is "sixty-one billion, seven hundred seventy-eight million, seven hundred sixteen thousand, one hundred sixty".