61244356800 has 672 divisors, whose sum is σ = 236522361600. Its totient is φ = 13713408000.

The previous prime is 61244356799. The next prime is 61244356807. The reversal of 61244356800 is 865344216.

It is not an unprimeable number, because it can be changed into a prime (61244356807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41130456 + ... + 41131944.

It is an arithmetic number, because the mean of its divisors is an integer number (351967800).

Almost surely, 2^61244356800 is an apocalyptic number.

61244356800 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 61244356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118261180800).

61244356800 is an abundant number, since it is smaller than the sum of its proper divisors (175278004800).

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

61244356800 is a wasteful number, since it uses less digits than its factorization.

61244356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 61244356800 in words is "sixty-one billion, two hundred forty-four million, three hundred fifty-six thousand, eight hundred".