65633698368 has 252 divisors, whose sum is σ = 219993933900. Its totient is φ = 18653773824.

The previous prime is 65633698337. The next prime is 65633698381. The reversal of 65633698368 is 86389633656.

65633698368 is a `hidden beast` number, since 6 + 563 + 3 + 6 + 9 + 8 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30292706304 + 35340992064 = 174048^2 + 187992^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×65633698368² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5441208 + ... + 5453256.

Almost surely, 2^65633698368 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 65633698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109996966950).

65633698368 is an abundant number, since it is smaller than the sum of its proper divisors (154360235532).

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

65633698368 is a wasteful number, since it uses less digits than its factorization.

65633698368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12254 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 65633698368 in words is "sixty-five billion, six hundred thirty-three million, six hundred ninety-eight thousand, three hundred sixty-eight".