65675957760 has 640 divisors, whose sum is σ = 268697088000. Its totient is φ = 14894530560.

The previous prime is 65675957687. The next prime is 65675957777. The reversal of 65675957760 is 6775957656.

65675957760 is a `hidden beast` number, since 6 + 5 + 6 + 7 + 59 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72091705 + ... + 72092615.

It is an arithmetic number, because the mean of its divisors is an integer number (419839200).

Almost surely, 2^65675957760 is an apocalyptic number.

65675957760 is a gapful number since it is divisible by the number (60) 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 65675957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544000).

65675957760 is an abundant number, since it is smaller than the sum of its proper divisors (203021130240).

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

65675957760 is a wasteful number, since it uses less digits than its factorization.

65675957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 83349000, while the sum is 63.

The spelling of 65675957760 in words is "sixty-five billion, six hundred seventy-five million, nine hundred fifty-seven thousand, seven hundred sixty".