66105001677 has 16 divisors (see below), whose sum is σ = 103549094208. Its totient is φ = 36981818880.

The previous prime is 66105001673. The next prime is 66105001691. The reversal of 66105001677 is 77610050166.

66105001677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66105001677 - 2² = 66105001673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66105001673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77045028 + ... + 77045885.

It is an arithmetic number, because the mean of its divisors is an integer number (6471818388).

Almost surely, 2^66105001677 is an apocalyptic number.

It is an amenable number.

66105001677 is a deficient number, since it is larger than the sum of its proper divisors (37444092531).

66105001677 is a wasteful number, since it uses less digits than its factorization.

66105001677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154090940.

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 66105001677 in words is "sixty-six billion, one hundred five million, one thousand, six hundred seventy-seven".