6542129016 has 96 divisors (see below), whose sum is σ = 18532800000. Its totient is φ = 2080913472.

The previous prime is 6542128991. The next prime is 6542129017. The reversal of 6542129016 is 6109212456.

6542129016 is a `hidden beast` number, since 6 + 542 + 12 + 90 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542129017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722485 + ... + 731483.

It is an arithmetic number, because the mean of its divisors is an integer number (193050000).

Almost surely, 2^6542129016 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 6542129016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266400000).

6542129016 is an abundant number, since it is smaller than the sum of its proper divisors (11990670984).

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

6542129016 is a wasteful number, since it uses less digits than its factorization.

6542129016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6542129016 is about 80883.4285623452. The cubic root of 6542129016 is about 1870.2788736391.

The spelling of 6542129016 in words is "six billion, five hundred forty-two million, one hundred twenty-nine thousand, sixteen".