6741517200 has 240 divisors, whose sum is σ = 23715880896. Its totient is φ = 1623398400.

The previous prime is 6741517183. The next prime is 6741517231. The reversal of 6741517200 is 27151476.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070774 + ... + 2074026.

Almost surely, 2^6741517200 is an apocalyptic number.

6741517200 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 6741517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857940448).

6741517200 is an abundant number, since it is smaller than the sum of its proper divisors (16974363696).

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

6741517200 is a wasteful number, since it uses less digits than its factorization.

6741517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 6741517200 is about 82106.7427194624. The cubic root of 6741517200 is about 1889.0895645823.

Adding to 6741517200 its reverse (27151476), we get a palindrome (6768668676).

The spelling of 6741517200 in words is "six billion, seven hundred forty-one million, five hundred seventeen thousand, two hundred".