6741420400 has 240 divisors, whose sum is σ = 20032467840. Its totient is φ = 2143411200.

The previous prime is 6741420377. The next prime is 6741420409. The reversal of 6741420400 is 40241476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741420409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083699 + ... + 1089901.

It is an arithmetic number, because the mean of its divisors is an integer number (83468616).

Almost surely, 2^6741420400 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 6741420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016233920).

6741420400 is an abundant number, since it is smaller than the sum of its proper divisors (13291047440).

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

6741420400 is a wasteful number, since it uses less digits than its factorization.

6741420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 6741420400 is about 82106.1532407895. The cubic root of 6741420400 is about 1889.0805228617.

Adding to 6741420400 its reverse (40241476), we get a palindrome (6781661876).

The spelling of 6741420400 in words is "six billion, seven hundred forty-one million, four hundred twenty thousand, four hundred".