6734141200 has 120 divisors (see below), whose sum is σ = 16622686080. Its totient is φ = 2620454400.

The previous prime is 6734141143. The next prime is 6734141221. The reversal of 6734141200 is 21414376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401811 + ... + 3403789.

It is an arithmetic number, because the mean of its divisors is an integer number (138522384).

Almost surely, 2^6734141200 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 6734141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

6734141200 is an abundant number, since it is smaller than the sum of its proper divisors (9888544880).

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

6734141200 is a wasteful number, since it uses less digits than its factorization.

6734141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6734141200 is about 82061.8132873019. The cubic root of 6734141200 is about 1888.4003522937.

Adding to 6734141200 its reverse (21414376), we get a palindrome (6755555576).

The spelling of 6734141200 in words is "six billion, seven hundred thirty-four million, one hundred forty-one thousand, two hundred".