61789041504 has 288 divisors, whose sum is σ = 187518240000. Its totient is φ = 19244915712.

The previous prime is 61789041499. The next prime is 61789041511. The reversal of 61789041504 is 40514098716.

61789041504 is a `hidden beast` number, since 6 + 17 + 8 + 90 + 41 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 61789041504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194917954 + ... + 194918270.

It is an arithmetic number, because the mean of its divisors is an integer number (651105000).

Almost surely, 2^61789041504 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 61789041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120000).

61789041504 is an abundant number, since it is smaller than the sum of its proper divisors (125729198496).

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

61789041504 is a wasteful number, since it uses less digits than its factorization.

61789041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61789041504 in words is "sixty-one billion, seven hundred eighty-nine million, forty-one thousand, five hundred four".