65067906816 has 324 divisors, whose sum is σ = 212892738240. Its totient is φ = 19078963200.

The previous prime is 65067906809. The next prime is 65067906829. The reversal of 65067906816 is 61860976056.

65067906816 is a `hidden beast` number, since 6 + 506 + 79 + 0 + 68 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8638540 + ... + 8646068.

Almost surely, 2^65067906816 is an apocalyptic number.

65067906816 is a gapful number since it is divisible by the number (66) 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 65067906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106446369120).

65067906816 is an abundant number, since it is smaller than the sum of its proper divisors (147824831424).

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

65067906816 is a wasteful number, since it uses less digits than its factorization.

65067906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 65067906816 in words is "sixty-five billion, sixty-seven million, nine hundred six thousand, eight hundred sixteen".