6534752004 has 384 divisors, whose sum is σ = 20563200000. Its totient is φ = 1772305920.

The previous prime is 6534751999. The next prime is 6534752047. The reversal of 6534752004 is 4002574356.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6534752004.

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 127 ways as a sum of consecutive naturals, for example, 43857322 + ... + 43857470.

It is an arithmetic number, because the mean of its divisors is an integer number (53550000).

Almost surely, 2^6534752004 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 6534752004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600000).

6534752004 is an abundant number, since it is smaller than the sum of its proper divisors (14028447996).

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

6534752004 is a wasteful number, since it uses less digits than its factorization.

6534752004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6534752004 is about 80837.8129590355. The cubic root of 6534752004 is about 1869.5756235276.

The spelling of 6534752004 in words is "six billion, five hundred thirty-four million, seven hundred fifty-two thousand, four".