61709808476160 has 1792 divisors, whose sum is σ = 251872504128000. Its totient is φ = 14385467621376.

The previous prime is 61709808476149. The next prime is 61709808476167. The reversal of 61709808476160 is 6167480890716.

61709808476160 is a `hidden beast` number, since 6 + 1 + 7 + 0 + 9 + 8 + 0 + 8 + 4 + 7 + 616 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61709808476167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22126140046 + ... + 22126142834.

It is an arithmetic number, because the mean of its divisors is an integer number (140553852750).

Almost surely, 2^{61709808476160} is an apocalyptic number.

61709808476160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61709808476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125936252064000).

61709808476160 is an abundant number, since it is smaller than the sum of its proper divisors (190162695651840).

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

61709808476160 is an equidigital number, since it uses as much as digits as its factorization.

61709808476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 61709808476160 in words is "sixty-one trillion, seven hundred nine billion, eight hundred eight million, four hundred seventy-six thousand, one hundred sixty".