65697713664 has 320 divisors, whose sum is σ = 203870380032. Its totient is φ = 18579456000.

The previous prime is 65697713633. The next prime is 65697713693. The reversal of 65697713664 is 46631779656.

It is a junction number, because it is equal to n+sod(n) for n = 65697713598 and 65697713607.

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, 36477564 + ... + 36479364.

Almost surely, 2^65697713664 is an apocalyptic number.

65697713664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65697713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101935190016).

65697713664 is an abundant number, since it is smaller than the sum of its proper divisors (138172666368).

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

65697713664 is a wasteful number, since it uses less digits than its factorization.

65697713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1961 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 65697713664 in words is "sixty-five billion, six hundred ninety-seven million, seven hundred thirteen thousand, six hundred sixty-four".