6761989080 has 1024 divisors, whose sum is σ = 30169497600. Its totient is φ = 1306368000.

The previous prime is 6761989079. The next prime is 6761989103. The reversal of 6761989080 is 809891676.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110852250 + ... + 110852310.

It is an arithmetic number, because the mean of its divisors is an integer number (29462400).

Almost surely, 2^6761989080 is an apocalyptic number.

6761989080 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 6761989080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084748800).

6761989080 is an abundant number, since it is smaller than the sum of its proper divisors (23407508520).

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

6761989080 is a wasteful number, since it uses less digits than its factorization.

6761989080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 6761989080 is about 82231.3144732589. The cubic root of 6761989080 is about 1890.9998237264. Note that the first 3 decimals are identical.

The spelling of 6761989080 in words is "six billion, seven hundred sixty-one million, nine hundred eighty-nine thousand, eighty".