61536309120 has 768 divisors, whose sum is σ = 258981166080. Its totient is φ = 13765386240.

The previous prime is 61536309119. The next prime is 61536309143. The reversal of 61536309120 is 2190363516.

61536309120 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 630 + 9 + 12 + 0 = 666.

61536309120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61536309120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22237977 + ... + 22240743.

It is an arithmetic number, because the mean of its divisors is an integer number (337215060).

Almost surely, 2^61536309120 is an apocalyptic number.

61536309120 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 61536309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129490583040).

61536309120 is an abundant number, since it is smaller than the sum of its proper divisors (197444856960).

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

61536309120 is a wasteful number, since it uses less digits than its factorization.

61536309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 61536309120 in words is "sixty-one billion, five hundred thirty-six million, three hundred nine thousand, one hundred twenty".