61695765864 has 96 divisors (see below), whose sum is σ = 169085629440. Its totient is φ = 20321280000.

The previous prime is 61695765851. The next prime is 61695765947. The reversal of 61695765864 is 46856759616.

61695765864 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 576 + 58 + 6 + 4 = 666.

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, 2281704 + ... + 2308584.

It is an arithmetic number, because the mean of its divisors is an integer number (1761308640).

Almost surely, 2^61695765864 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 61695765864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84542814720).

61695765864 is an abundant number, since it is smaller than the sum of its proper divisors (107389863576).

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

61695765864 is a wasteful number, since it uses less digits than its factorization.

61695765864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27271 (or 27264 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 61695765864 in words is "sixty-one billion, six hundred ninety-five million, seven hundred sixty-five thousand, eight hundred sixty-four".