6765940800 has 168 divisors, whose sum is σ = 24664517600. Its totient is φ = 1804239360.

The previous prime is 6765940781. The next prime is 6765940801. The reversal of 6765940800 is 80495676.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6765940801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35110 + ... + 121509.

Almost surely, 2^6765940800 is an apocalyptic number.

6765940800 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 6765940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332258800).

6765940800 is an abundant number, since it is smaller than the sum of its proper divisors (17898576800).

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

6765940800 is a wasteful number, since it uses less digits than its factorization.

6765940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156650 (or 156629 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6765940800 is about 82255.3390364419. The cubic root of 6765940800 is about 1891.3681200231.

The spelling of 6765940800 in words is "six billion, seven hundred sixty-five million, nine hundred forty thousand, eight hundred".