66834016656 has 160 divisors (see below), whose sum is σ = 205101158400. Its totient is φ = 18525104640.

The previous prime is 66834016619. The next prime is 66834016681. The reversal of 66834016656 is 65661043866.

It is a junction number, because it is equal to n+sod(n) for n = 66834016599 and 66834016608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176065 + ... + 405791.

It is an arithmetic number, because the mean of its divisors is an integer number (1281882240).

Almost surely, 2^66834016656 is an apocalyptic number.

66834016656 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 66834016656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102550579200).

66834016656 is an abundant number, since it is smaller than the sum of its proper divisors (138267141744).

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

66834016656 is a wasteful number, since it uses less digits than its factorization.

66834016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229797 (or 229791 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 66834016656 in words is "sixty-six billion, eight hundred thirty-four million, sixteen thousand, six hundred fifty-six".