61368314895360 has 2112 divisors, whose sum is σ = 247845984758400. Its totient is φ = 14378587914240.

The previous prime is 61368314895343. The next prime is 61368314895361. The reversal of 61368314895360 is 6359841386316.

61368314895360 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 8 + 3 + 14 + 89 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61368314895361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141728209704 + ... + 141728210136.

Almost surely, 2^{61368314895360} is an apocalyptic number.

61368314895360 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 61368314895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123922992379200).

61368314895360 is an abundant number, since it is smaller than the sum of its proper divisors (186477669863040).

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

61368314895360 is a wasteful number, since it uses less digits than its factorization.

61368314895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 61368314895360 in words is "sixty-one trillion, three hundred sixty-eight billion, three hundred fourteen million, eight hundred ninety-five thousand, three hundred sixty".