6534528000 has 1408 divisors, whose sum is σ = 30901118976. Its totient is φ = 1179648000.

The previous prime is 6534527977. The next prime is 6534528029. The reversal of 6534528000 is 8254356.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384383992 + ... + 384384008.

Almost surely, 2^6534528000 is an apocalyptic number.

6534528000 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 6534528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450559488).

6534528000 is an abundant number, since it is smaller than the sum of its proper divisors (24366590976).

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

6534528000 is a wasteful number, since it uses less digits than its factorization.

6534528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 6534528000 is about 80836.4274321917. The cubic root of 6534528000 is about 1869.5542609621.

The spelling of 6534528000 in words is "six billion, five hundred thirty-four million, five hundred twenty-eight thousand".