66808501810974 has 256 divisors, whose sum is σ = 188857869926400. Its totient is φ = 17216209916640.

The previous prime is 66808501810877. The next prime is 66808501810979. The reversal of 66808501810974 is 47901810580866.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66808501810979) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41992387 + ... + 43554305.

It is an arithmetic number, because the mean of its divisors is an integer number (737726054400).

Almost surely, 2^{66808501810974} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66808501810974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94428934963200).

66808501810974 is an abundant number, since it is smaller than the sum of its proper divisors (122049368115426).

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

66808501810974 is a wasteful number, since it uses less digits than its factorization.

66808501810974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562087 (or 1562069 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 66808501810974 in words is "sixty-six trillion, eight hundred eight billion, five hundred one million, eight hundred ten thousand, nine hundred seventy-four".