66775292064 has 288 divisors, whose sum is σ = 224627195520. Its totient is φ = 18618107904.

The previous prime is 66775292057. The next prime is 66775292071. The reversal of 66775292064 is 46029257766.

It is an interprime number because it is at equal distance from previous prime (66775292057) and next prime (66775292071).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 66775292064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1615722 + ... + 1656534.

It is an arithmetic number, because the mean of its divisors is an integer number (779955540).

Almost surely, 2^66775292064 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 66775292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112313597760).

66775292064 is an abundant number, since it is smaller than the sum of its proper divisors (157851903456).

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

66775292064 is a wasteful number, since it uses less digits than its factorization.

66775292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40884 (or 40873 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 66775292064 in words is "sixty-six billion, seven hundred seventy-five million, two hundred ninety-two thousand, sixty-four".