65806734528 has 448 divisors, whose sum is σ = 213486796800. Its totient is φ = 19787120640.

The previous prime is 65806734523. The next prime is 65806734529. The reversal of 65806734528 is 82543760856.

65806734528 is a `hidden beast` number, since 6 + 5 + 80 + 6 + 7 + 34 + 528 = 666.

It is a super-3 number, since 3×65806734528³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65806734523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115653028 + ... + 115653596.

Almost surely, 2^65806734528 is an apocalyptic number.

65806734528 is a gapful number since it is divisible by the number (68) 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 65806734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106743398400).

65806734528 is an abundant number, since it is smaller than the sum of its proper divisors (147680062272).

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

65806734528 is a wasteful number, since it uses less digits than its factorization.

65806734528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 65806734528 in words is "sixty-five billion, eight hundred six million, seven hundred thirty-four thousand, five hundred twenty-eight".