6766775400 has 384 divisors, whose sum is σ = 26355456000. Its totient is φ = 1395225600.

The previous prime is 6766775383. The next prime is 6766775401. The reversal of 6766775400 is 45776676.

It is a self number, because there is not a number n which added to its sum of digits gives 6766775400.

It is not an unprimeable number, because it can be changed into a prime (6766775401) 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, 6883309 + ... + 6884291.

It is an arithmetic number, because the mean of its divisors is an integer number (68634000).

Almost surely, 2^6766775400 is an apocalyptic number.

6766775400 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 6766775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177728000).

6766775400 is an abundant number, since it is smaller than the sum of its proper divisors (19588680600).

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

6766775400 is a wasteful number, since it uses less digits than its factorization.

6766775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 6766775400 is about 82260.4121069181. The cubic root of 6766775400 is about 1891.4458855538.

The spelling of 6766775400 in words is "six billion, seven hundred sixty-six million, seven hundred seventy-five thousand, four hundred".