6761977920 has 672 divisors, whose sum is σ = 26018703360. Its totient is φ = 1605795840.

The previous prime is 6761977909. The next prime is 6761977921. The reversal of 6761977920 is 297791676.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6761977921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75977236 + ... + 75977324.

Almost surely, 2^6761977920 is an apocalyptic number.

6761977920 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 6761977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009351680).

6761977920 is an abundant number, since it is smaller than the sum of its proper divisors (19256725440).

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

6761977920 is a wasteful number, since it uses less digits than its factorization.

6761977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 6761977920 is about 82231.2466158698. The cubic root of 6761977920 is about 1890.9987834226.

The spelling of 6761977920 in words is "six billion, seven hundred sixty-one million, nine hundred seventy-seven thousand, nine hundred twenty".