6543005749038 has 144 divisors (see below), whose sum is σ = 15694805926800. Its totient is φ = 1968445797120.

The previous prime is 6543005749037. The next prime is 6543005749043. The reversal of 6543005749038 is 8309475003456.

6543005749038 is a `hidden beast` number, since 6 + 5 + 4 + 30 + 0 + 574 + 9 + 0 + 38 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543005749037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909631570 + ... + 909638762.

It is an arithmetic number, because the mean of its divisors is an integer number (108991707825).

Almost surely, 2^{6543005749038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6543005749038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847402963400).

6543005749038 is an abundant number, since it is smaller than the sum of its proper divisors (9151800177762).

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

6543005749038 is a wasteful number, since it uses less digits than its factorization.

6543005749038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6543005749038 in words is "six trillion, five hundred forty-three billion, five million, seven hundred forty-nine thousand, thirty-eight".