61684041120 has 576 divisors, whose sum is σ = 223562021760. Its totient is φ = 14208638976.

The previous prime is 61684041109. The next prime is 61684041121. The reversal of 61684041120 is 2114048616.

61684041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61684041121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313116862 + ... + 313117058.

It is an arithmetic number, because the mean of its divisors is an integer number (388128510).

Almost surely, 2^61684041120 is an apocalyptic number.

61684041120 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 61684041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111781010880).

61684041120 is an abundant number, since it is smaller than the sum of its proper divisors (161877980640).

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

61684041120 is a wasteful number, since it uses less digits than its factorization.

61684041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 61684041120 its reverse (2114048616), we get a palindrome (63798089736).

The spelling of 61684041120 in words is "sixty-one billion, six hundred eighty-four million, forty-one thousand, one hundred twenty".