65765603998080 has 1024 divisors, whose sum is σ = 270355827456000. Its totient is φ = 14798895022080.

The previous prime is 65765603998067. The next prime is 65765603998151. The reversal of 65765603998080 is 8089930656756.

65765603998080 is a `hidden beast` number, since 6 + 5 + 7 + 6 + 5 + 603 + 9 + 9 + 8 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×65765603998080³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2069972595 + ... + 2070004365.

It is an arithmetic number, because the mean of its divisors is an integer number (264019362750).

Almost surely, 2^{65765603998080} is an apocalyptic number.

65765603998080 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 65765603998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135177913728000).

65765603998080 is an abundant number, since it is smaller than the sum of its proper divisors (204590223457920).

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

65765603998080 is a wasteful number, since it uses less digits than its factorization.

65765603998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32072 (or 32054 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 65765603998080 in words is "sixty-five trillion, seven hundred sixty-five billion, six hundred three million, nine hundred ninety-eight thousand, eighty".