61360661799360 has 4032 divisors, whose sum is σ = 293887416775680. Its totient is φ = 11811597189120.

The previous prime is 61360661799331. The next prime is 61360661799373. The reversal of 61360661799360 is 6399716606316.

61360661799360 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 0 + 6 + 617 + 9 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 228106549306 + ... + 228106549574.

It is an arithmetic number, because the mean of its divisors is an integer number (72888744240).

Almost surely, 2^{61360661799360} is an apocalyptic number.

61360661799360 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 61360661799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943708387840).

61360661799360 is an abundant number, since it is smaller than the sum of its proper divisors (232526754976320).

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

61360661799360 is a wasteful number, since it uses less digits than its factorization.

61360661799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 61360661799360 in words is "sixty-one trillion, three hundred sixty billion, six hundred sixty-one million, seven hundred ninety-nine thousand, three hundred sixty".