6534514944 has 432 divisors, whose sum is σ = 21374091648. Its totient is φ = 1982693376.

The previous prime is 6534514939. The next prime is 6534514957. The reversal of 6534514944 is 4494154356.

6534514944 is a `hidden beast` number, since 65 + 34 + 514 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 6534514944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39128749 + ... + 39128915.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 2^6534514944 is an apocalyptic number.

6534514944 is a gapful number since it is divisible by the number (64) 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 6534514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687045824).

6534514944 is an abundant number, since it is smaller than the sum of its proper divisors (14839576704).

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

6534514944 is a wasteful number, since it uses less digits than its factorization.

6534514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 6534514944 is about 80836.3466764796. The cubic root of 6534514944 is about 1869.5530158369.

The spelling of 6534514944 in words is "six billion, five hundred thirty-four million, five hundred fourteen thousand, nine hundred forty-four".