6761771676 has 96 divisors (see below), whose sum is σ = 19437922560. Its totient is φ = 2015409600.

The previous prime is 6761771671. The next prime is 6761771693.

6761771676 is a `hidden beast` number, since 6 + 7 + 617 + 7 + 16 + 7 + 6 = 666.

6761771676 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761771671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25815 + ... + 119121.

It is an arithmetic number, because the mean of its divisors is an integer number (202478360).

Almost surely, 2^6761771676 is an apocalyptic number.

6761771676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6761771676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718961280).

6761771676 is an abundant number, since it is smaller than the sum of its proper divisors (12676150884).

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

6761771676 is a wasteful number, since it uses less digits than its factorization.

6761771676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93392 (or 93384 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 6761771676 is about 82229.9925574604. The cubic root of 6761771676 is about 1890.9795577304.

The spelling of 6761771676 in words is "six billion, seven hundred sixty-one million, seven hundred seventy-one thousand, six hundred seventy-six".