61724341000 has 256 divisors, whose sum is σ = 173903708160. Its totient is φ = 20047737600.

The previous prime is 61724340967. The next prime is 61724341009. The reversal of 61724341000 is 14342716.

61724341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 61724341000.

It is not an unprimeable number, because it can be changed into a prime (61724341009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17225209 + ... + 17228791.

It is an arithmetic number, because the mean of its divisors is an integer number (679311360).

Almost surely, 2^61724341000 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 61724341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86951854080).

61724341000 is an abundant number, since it is smaller than the sum of its proper divisors (112179367160).

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

61724341000 is a wasteful number, since it uses less digits than its factorization.

61724341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 61724341000 its reverse (14342716), we get a palindrome (61738683716).

The spelling of 61724341000 in words is "sixty-one billion, seven hundred twenty-four million, three hundred forty-one thousand".