6564074112000 has 880 divisors, whose sum is σ = 24537419786880. Its totient is φ = 1745086464000.

The previous prime is 6564074111977. The next prime is 6564074112041. The reversal of 6564074112000 is 2114704656.

6564074112000 is a `hidden beast` number, since 6 + 5 + 6 + 407 + 41 + 1 + 200 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4344191245 + ... + 4344192755.

It is an arithmetic number, because the mean of its divisors is an integer number (27883431576).

Almost surely, 2^{6564074112000} is an apocalyptic number.

6564074112000 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 6564074112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268709893440).

6564074112000 is an abundant number, since it is smaller than the sum of its proper divisors (17973345674880).

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

6564074112000 is a wasteful number, since it uses less digits than its factorization.

6564074112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 6564074112000 its reverse (2114704656), we get a palindrome (6566188816656).

The spelling of 6564074112000 in words is "six trillion, five hundred sixty-four billion, seventy-four million, one hundred twelve thousand".