66124476402768 has 200 divisors, whose sum is σ = 218789435175168. Its totient is φ = 18887047458048.

The previous prime is 66124476402767. The next prime is 66124476402841. The reversal of 66124476402768 is 86720467442166.

66124476402768 is a `hidden beast` number, since 6 + 6 + 124 + 47 + 6 + 402 + 7 + 68 = 666.

66124476402768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66124476402768² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66124476402767) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 29237530 + ... + 31417862.

Almost surely, 2^{66124476402768} 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 66124476402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109394717587584).

66124476402768 is an abundant number, since it is smaller than the sum of its proper divisors (152664958772400).

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

66124476402768 is a wasteful number, since it uses less digits than its factorization.

66124476402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183703 (or 2183688 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 66124476402768 in words is "sixty-six trillion, one hundred twenty-four billion, four hundred seventy-six million, four hundred two thousand, seven hundred sixty-eight".