65808033408 has 192 divisors, whose sum is σ = 204133456800. Its totient is φ = 20229064704.

The previous prime is 65808033391. The next prime is 65808033443. The reversal of 65808033408 is 80433080856.

65808033408 is a `hidden beast` number, since 65 + 80 + 80 + 33 + 408 = 666.

65808033408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×65808033408² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26760883 + ... + 26763341.

Almost surely, 2^65808033408 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 65808033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102066728400).

65808033408 is an abundant number, since it is smaller than the sum of its proper divisors (138325423392).

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

65808033408 is a wasteful number, since it uses less digits than its factorization.

65808033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 65808033408 in words is "sixty-five billion, eight hundred eight million, thirty-three thousand, four hundred eight".