6741504000 has 1248 divisors, whose sum is σ = 31893788160. Its totient is φ = 1327104000.

The previous prime is 6741503983. The next prime is 6741504023. The reversal of 6741504000 is 4051476.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354815991 + ... + 354816009.

It is an arithmetic number, because the mean of its divisors is an integer number (25555920).

Almost surely, 2^6741504000 is an apocalyptic number.

6741504000 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 6741504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946894080).

6741504000 is an abundant number, since it is smaller than the sum of its proper divisors (25152284160).

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

6741504000 is a wasteful number, since it uses less digits than its factorization.

6741504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6741504000 is about 82106.6623362562. The cubic root of 6741504000 is about 1889.0883316255.

Adding to 6741504000 its reverse (4051476), we get a palindrome (6745555476).

The spelling of 6741504000 in words is "six billion, seven hundred forty-one million, five hundred four thousand".