6534864000 has 512 divisors, whose sum is σ = 27521395200. Its totient is φ = 1492992000.

The previous prime is 6534863999. The next prime is 6534864053. The reversal of 6534864000 is 4684356.

6534864000 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 8 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3022920 + ... + 3025080.

It is an arithmetic number, because the mean of its divisors is an integer number (53752725).

Almost surely, 2^6534864000 is an apocalyptic number.

6534864000 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 6534864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760697600).

6534864000 is an abundant number, since it is smaller than the sum of its proper divisors (20986531200).

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

6534864000 is a wasteful number, since it uses less digits than its factorization.

6534864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6534864000 is about 80838.5056764411. The cubic root of 6534864000 is about 1869.5863040551.

The spelling of 6534864000 in words is "six billion, five hundred thirty-four million, eight hundred sixty-four thousand".