6774432000 has 576 divisors, whose sum is σ = 27274351104. Its totient is φ = 1454899200.

The previous prime is 6774431999. The next prime is 6774432001. The reversal of 6774432000 is 2344776.

It is an interprime number because it is at equal distance from previous prime (6774431999) and next prime (6774432001).

It is not an unprimeable number, because it can be changed into a prime (6774432001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423704 + ... + 11424296.

It is an arithmetic number, because the mean of its divisors is an integer number (47351304).

Almost surely, 2^6774432000 is an apocalyptic number.

6774432000 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 6774432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637175552).

6774432000 is an abundant number, since it is smaller than the sum of its proper divisors (20499919104).

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

6774432000 is a wasteful number, since it uses less digits than its factorization.

6774432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 6774432000 is about 82306.9377391724. The cubic root of 6774432000 is about 1892.1590064030.

Adding to 6774432000 its reverse (2344776), we get a palindrome (6776776776).

The spelling of 6774432000 in words is "six billion, seven hundred seventy-four million, four hundred thirty-two thousand".