6781132800 has 504 divisors, whose sum is σ = 26250939624. Its totient is φ = 1663303680.

The previous prime is 6781132781. The next prime is 6781132801. The reversal of 6781132800 is 82311876.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6781132801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961459 + ... + 23961741.

Almost surely, 2^6781132800 is an apocalyptic number.

6781132800 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 6781132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125469812).

6781132800 is an abundant number, since it is smaller than the sum of its proper divisors (19469806824).

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

6781132800 is a wasteful number, since it uses less digits than its factorization.

6781132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6781132800 is about 82347.6338457882. The cubic root of 6781132800 is about 1892.7826651331.

The spelling of 6781132800 in words is "six billion, seven hundred eighty-one million, one hundred thirty-two thousand, eight hundred".