61606500321600 has 504 divisors, whose sum is σ = 239326999140320. Its totient is φ = 14938335498240.

The previous prime is 61606500321511. The next prime is 61606500321607. The reversal of 61606500321600 is 612300560616.

61606500321600 is a `hidden beast` number, since 6 + 1 + 60 + 6 + 500 + 32 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61606500321607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10086471 + ... + 14998329.

Almost surely, 2^{61606500321600} is an apocalyptic number.

61606500321600 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 61606500321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119663499570160).

61606500321600 is an abundant number, since it is smaller than the sum of its proper divisors (177720498818720).

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

61606500321600 is a wasteful number, since it uses less digits than its factorization.

61606500321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911967 (or 4911949 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61606500321600 in words is "sixty-one trillion, six hundred six billion, five hundred million, three hundred twenty-one thousand, six hundred".