61504361200 has 240 divisors, whose sum is σ = 161112188160. Its totient is φ = 22475714560.

The previous prime is 61504361197. The next prime is 61504361201. The reversal of 61504361200 is 216340516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61504361201) 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 47 ways as a sum of consecutive naturals, for example, 33298677 + ... + 33300523.

It is an arithmetic number, because the mean of its divisors is an integer number (671300784).

Almost surely, 2^61504361200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61504361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80556094080).

61504361200 is an abundant number, since it is smaller than the sum of its proper divisors (99607826960).

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

61504361200 is a wasteful number, since it uses less digits than its factorization.

61504361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 61504361200 in words is "sixty-one billion, five hundred four million, three hundred sixty-one thousand, two hundred".