61010165664 has 288 divisors, whose sum is σ = 206221317120. Its totient is φ = 16740089856.

The previous prime is 61010165663. The next prime is 61010165681. The reversal of 61010165664 is 46656101016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (61010165663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11280849 + ... + 11286255.

It is an arithmetic number, because the mean of its divisors is an integer number (716046240).

Almost surely, 2^61010165664 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 61010165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103110658560).

61010165664 is an abundant number, since it is smaller than the sum of its proper divisors (145211151456).

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

61010165664 is a wasteful number, since it uses less digits than its factorization.

61010165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61010165664 in words is "sixty-one billion, ten million, one hundred sixty-five thousand, six hundred sixty-four".