61745701668 has 192 divisors, whose sum is σ = 180074496000. Its totient is φ = 16068948480.

The previous prime is 61745701663. The next prime is 61745701669. The reversal of 61745701668 is 86610754716.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61745701668.

It is not an unprimeable number, because it can be changed into a prime (61745701663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7763758 + ... + 7771706.

It is an arithmetic number, because the mean of its divisors is an integer number (937888000).

Almost surely, 2^61745701668 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 61745701668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90037248000).

61745701668 is an abundant number, since it is smaller than the sum of its proper divisors (118328794332).

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

61745701668 is a wasteful number, since it uses less digits than its factorization.

61745701668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 61745701668 in words is "sixty-one billion, seven hundred forty-five million, seven hundred one thousand, six hundred sixty-eight".