6761106720 has 384 divisors, whose sum is σ = 25650535680. Its totient is φ = 1656668160.

The previous prime is 6761106689. The next prime is 6761106787. The reversal of 6761106720 is 276011676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156850 + ... + 3158990.

It is an arithmetic number, because the mean of its divisors is an integer number (66798270).

Almost surely, 2^6761106720 is an apocalyptic number.

6761106720 is a gapful number since it is divisible by the number (60) 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 6761106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825267840).

6761106720 is an abundant number, since it is smaller than the sum of its proper divisors (18889428960).

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

6761106720 is a wasteful number, since it uses less digits than its factorization.

6761106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6761106720 is about 82225.9491888054. The cubic root of 6761106720 is about 1890.9175690740.

The spelling of 6761106720 in words is "six billion, seven hundred sixty-one million, one hundred six thousand, seven hundred twenty".