65677965696 has 256 divisors, whose sum is σ = 223574208000. Its totient is φ = 18592229376.

The previous prime is 65677965679. The next prime is 65677965713. The reversal of 65677965696 is 69656977656.

It is a happy number.

65677965696 is a `hidden beast` number, since 6 + 56 + 7 + 7 + 9 + 6 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (65677965679) and next prime (65677965713).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2624475 + ... + 2649381.

It is an arithmetic number, because the mean of its divisors is an integer number (873336750).

Almost surely, 2^65677965696 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 65677965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111787104000).

65677965696 is an abundant number, since it is smaller than the sum of its proper divisors (157896242304).

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

65677965696 is a wasteful number, since it uses less digits than its factorization.

65677965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 25028 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 72.

The spelling of 65677965696 in words is "sixty-five billion, six hundred seventy-seven million, nine hundred sixty-five thousand, six hundred ninety-six".