61320446397600 has 288 divisors, whose sum is σ = 215043591954240. Its totient is φ = 15087814410240.

The previous prime is 61320446397517. The next prime is 61320446397611. The reversal of 61320446397600 is 679364402316.

It is a happy number.

61320446397600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72807696 + ... + 73645104.

It is an arithmetic number, because the mean of its divisors is an integer number (746679138730).

Almost surely, 2^{61320446397600} is an apocalyptic number.

61320446397600 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 61320446397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107521795977120).

61320446397600 is an abundant number, since it is smaller than the sum of its proper divisors (153723145556640).

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

61320446397600 is a wasteful number, since it uses less digits than its factorization.

61320446397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839792 (or 839779 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 61320446397600 in words is "sixty-one trillion, three hundred twenty billion, four hundred forty-six million, three hundred ninety-seven thousand, six hundred".