6564096000 has 1152 divisors, whose sum is σ = 30295399680. Its totient is φ = 1327104000.

The previous prime is 6564095983. The next prime is 6564096013. The reversal of 6564096000 is 6904656.

It is a happy number.

6564096000 is a `hidden beast` number, since 6 + 5 + 6 + 40 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177407982 + ... + 177408018.

It is an arithmetic number, because the mean of its divisors is an integer number (26298090).

Almost surely, 2^6564096000 is an apocalyptic number.

6564096000 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 6564096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147699840).

6564096000 is an abundant number, since it is smaller than the sum of its proper divisors (23731303680).

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

6564096000 is a wasteful number, since it uses less digits than its factorization.

6564096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6564096000 is about 81019.1088571085. The cubic root of 6564096000 is about 1872.3698589828.

The spelling of 6564096000 in words is "six billion, five hundred sixty-four million, ninety-six thousand".