66496407515136 has 312 divisors, whose sum is σ = 207851817438720. Its totient is φ = 21201745821696.

The previous prime is 66496407515129. The next prime is 66496407515149. The reversal of 66496407515136 is 63151570469466.

It is a happy number.

66496407515136 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 6 + 40 + 75 + 1 + 513 + 6 = 666.

66496407515136 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21440185 + ... + 24344903.

It is an arithmetic number, because the mean of its divisors is an integer number (666191722560).

Almost surely, 2^{66496407515136} 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 66496407515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103925908719360).

66496407515136 is an abundant number, since it is smaller than the sum of its proper divisors (141355409923584).

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

66496407515136 is an equidigital number, since it uses as much as digits as its factorization.

66496407515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904781 (or 2904747 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 66496407515136 in words is "sixty-six trillion, four hundred ninety-six billion, four hundred seven million, five hundred fifteen thousand, one hundred thirty-six".