61244019600 has 240 divisors, whose sum is σ = 198467565120. Its totient is φ = 16142796800.

The previous prime is 61244019589. The next prime is 61244019623. The reversal of 61244019600 is 691044216.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49831786 + ... + 49833014.

It is an arithmetic number, because the mean of its divisors is an integer number (826948188).

Almost surely, 2^61244019600 is an apocalyptic number.

61244019600 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 61244019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99233782560).

61244019600 is an abundant number, since it is smaller than the sum of its proper divisors (137223545520).

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

61244019600 is a wasteful number, since it uses less digits than its factorization.

61244019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 61244019600 in words is "sixty-one billion, two hundred forty-four million, nineteen thousand, six hundred".