61406444736 has 1680 divisors, whose sum is σ = 259168757760. Its totient is φ = 13974405120.

The previous prime is 61406444731. The next prime is 61406444779. The reversal of 61406444736 is 63744460416.

61406444736 is a `hidden beast` number, since 6 + 140 + 64 + 447 + 3 + 6 = 666.

61406444736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61406444691 and 61406444700.

It is not an unprimeable number, because it can be changed into a prime (61406444731) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1980853041 + ... + 1980853071.

Almost surely, 2^61406444736 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 61406444736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129584378880).

61406444736 is an abundant number, since it is smaller than the sum of its proper divisors (197762313024).

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

61406444736 is a wasteful number, since it uses less digits than its factorization.

61406444736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 61406444736 in words is "sixty-one billion, four hundred six million, four hundred forty-four thousand, seven hundred thirty-six".