6736400 has 60 divisors (see below), whose sum is σ = 17667024. Its totient is φ = 2448000.

The previous prime is 6736361. The next prime is 6736417. The reversal of 6736400 is 46376.

It is a self number, because there is not a number n which added to its sum of digits gives 6736400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635 + ... + 5165.

Almost surely, 2^6736400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833512).

6736400 is an abundant number, since it is smaller than the sum of its proper divisors (10930624).

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

6736400 is a wasteful number, since it uses less digits than its factorization.

6736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 6736400 is about 2595.4575704488. The cubic root of 6736400 is about 188.8611467651.

Subtracting from 6736400 its product of nonzero digits (3024), we obtain a palindrome (6733376).

The spelling of 6736400 in words is "six million, seven hundred thirty-six thousand, four hundred".