61730668892160 has 1040 divisors, whose sum is σ = 225750902691600. Its totient is φ = 16131639214080.

The previous prime is 61730668892159. The next prime is 61730668892209. The reversal of 61730668892160 is 6129886603716.

61730668892160 is a `hidden beast` number, since 6 + 1 + 7 + 306 + 6 + 88 + 92 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17501571846144 + 44229097046016 = 4183488^2 + 6650496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31672994866 + ... + 31672996814.

It is an arithmetic number, because the mean of its divisors is an integer number (217068175665).

Almost surely, 2^{61730668892160} is an apocalyptic number.

61730668892160 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 61730668892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112875451345800).

61730668892160 is an abundant number, since it is smaller than the sum of its proper divisors (164020233799440).

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

61730668892160 is a wasteful number, since it uses less digits than its factorization.

61730668892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 61730668892160 in words is "sixty-one trillion, seven hundred thirty billion, six hundred sixty-eight million, eight hundred ninety-two thousand, one hundred sixty".