6577741506377 has 16 divisors (see below), whose sum is σ = 6707743524288. Its totient is φ = 6447959818560.

The previous prime is 6577741506367. The next prime is 6577741506389. The reversal of 6577741506377 is 7736051477756.

It is a cyclic number.

It is not a de Polignac number, because 6577741506377 - 2³⁶ = 6509022029641 is a prime.

It is a super-2 number, since 2×6577741506377² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6577741506307) 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, 659549963 + ... + 659559935.

It is an arithmetic number, because the mean of its divisors is an integer number (419233970268).

Almost surely, 2^{6577741506377} is an apocalyptic number.

It is an amenable number.

6577741506377 is a deficient number, since it is larger than the sum of its proper divisors (130002017911).

6577741506377 is a wasteful number, since it uses less digits than its factorization.

6577741506377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19720.

The product of its (nonzero) digits is 181515600, while the sum is 65.

The spelling of 6577741506377 in words is "six trillion, five hundred seventy-seven billion, seven hundred forty-one million, five hundred six thousand, three hundred seventy-seven".