61585793720 has 64 divisors (see below), whose sum is σ = 151336512000. Its totient is φ = 22369444480.

The previous prime is 61585793677. The next prime is 61585793729. The reversal of 61585793720 is 2739758516.

61585793720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61585793729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311381 + ... + 469179.

It is an arithmetic number, because the mean of its divisors is an integer number (2364633000).

Almost surely, 2^61585793720 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 61585793720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75668256000).

61585793720 is an abundant number, since it is smaller than the sum of its proper divisors (89750718280).

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

61585793720 is a wasteful number, since it uses less digits than its factorization.

61585793720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158708 (or 158704 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 61585793720 in words is "sixty-one billion, five hundred eighty-five million, seven hundred ninety-three thousand, seven hundred twenty".