65966031936 has 784 divisors, whose sum is σ = 236987023104. Its totient is φ = 17817366528.

The previous prime is 65966031917. The next prime is 65966031949. The reversal of 65966031936 is 63913066956.

65966031936 is a `hidden beast` number, since 6 + 596 + 6 + 0 + 3 + 19 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 640446861 + ... + 640446963.

Almost surely, 2^65966031936 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 65966031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118493511552).

65966031936 is an abundant number, since it is smaller than the sum of its proper divisors (171020991168).

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

65966031936 is a wasteful number, since it uses less digits than its factorization.

65966031936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 65966031936 in words is "sixty-five billion, nine hundred sixty-six million, thirty-one thousand, nine hundred thirty-six".