61006409424 has 120 divisors (see below), whose sum is σ = 171893685600. Its totient is φ = 20197728000.

The previous prime is 61006409393. The next prime is 61006409441. The reversal of 61006409424 is 42490460016.

61006409424 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 640 + 9 + 4 + 2 + 4 = 666.

61006409424 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14057847 + ... + 14062185.

It is an arithmetic number, because the mean of its divisors is an integer number (1432447380).

Almost surely, 2^61006409424 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 61006409424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85946842800).

61006409424 is an abundant number, since it is smaller than the sum of its proper divisors (110887276176).

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

61006409424 is a wasteful number, since it uses less digits than its factorization.

61006409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61006409424 in words is "sixty-one billion, six million, four hundred nine thousand, four hundred twenty-four".