6677771100077 has 8 divisors (see below), whose sum is σ = 8325532800192. Its totient is φ = 5203458000000.

The previous prime is 6677771100071. The next prime is 6677771100151. The reversal of 6677771100077 is 7700011777766.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6677771100077 - 2²⁴ = 6677754322861 is a prime.

It is a super-3 number, since 3×6677771100077³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6677771099995 and 6677771100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677771100071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43362149924 + ... + 43362150077.

It is an arithmetic number, because the mean of its divisors is an integer number (1040691600024).

Almost surely, 2^{6677771100077} is an apocalyptic number.

It is an amenable number.

6677771100077 is a deficient number, since it is larger than the sum of its proper divisors (1647761700115).

6677771100077 is a wasteful number, since it uses less digits than its factorization.

6677771100077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86724300019.

The product of its (nonzero) digits is 4235364, while the sum is 56.

The spelling of 6677771100077 in words is "six trillion, six hundred seventy-seven billion, seven hundred seventy-one million, one hundred thousand, seventy-seven".