65766072096 has 288 divisors, whose sum is σ = 200460536640. Its totient is φ = 21193767936.

The previous prime is 65766072083. The next prime is 65766072101. The reversal of 65766072096 is 69027066756.

65766072096 is a `hidden beast` number, since 6 + 5 + 7 + 6 + 607 + 20 + 9 + 6 = 666.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51499810 + ... + 51501086.

It is an arithmetic number, because the mean of its divisors is an integer number (696043530).

Almost surely, 2^65766072096 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 65766072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100230268320).

65766072096 is an abundant number, since it is smaller than the sum of its proper divisors (134694464544).

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

65766072096 is a wasteful number, since it uses less digits than its factorization.

65766072096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 65766072096 in words is "sixty-five billion, seven hundred sixty-six million, seventy-two thousand, ninety-six".