6740410400 has 72 divisors (see below), whose sum is σ = 16526106324. Its totient is φ = 2684518400.

The previous prime is 6740410381. The next prime is 6740410421. The reversal of 6740410400 is 40140476.

It can be written as a sum of positive squares in 6 ways, for example, as 2428124176 + 4312286224 = 49276^2 + 65668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6740410400.

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, 168320 + ... + 204480.

Almost surely, 2^6740410400 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 6740410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263053162).

6740410400 is an abundant number, since it is smaller than the sum of its proper divisors (9785695924).

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

6740410400 is a wasteful number, since it uses less digits than its factorization.

6740410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36414 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 6740410400 is about 82100.0024360536. The cubic root of 6740410400 is about 1888.9861774316.

Adding to 6740410400 its reverse (40140476), we get a palindrome (6780550876).

The spelling of 6740410400 in words is "six billion, seven hundred forty million, four hundred ten thousand, four hundred".