7032564000 has 1152 divisors, whose sum is σ = 32380508160. Its totient is φ = 1403136000.

The previous prime is 7032563969. The next prime is 7032564001. The reversal of 7032564000 is 4652307.

It is a happy number.

7032564000 is a `hidden beast` number, since 7 + 0 + 3 + 256 + 400 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7032564001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119195971 + ... + 119196029.

It is an arithmetic number, because the mean of its divisors is an integer number (28108080).

Almost surely, 2^7032564000 is an apocalyptic number.

7032564000 is a gapful number since it is divisible by the number (70) 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 7032564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190254080).

7032564000 is an abundant number, since it is smaller than the sum of its proper divisors (25347944160).

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

7032564000 is a wasteful number, since it uses less digits than its factorization.

7032564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7032564000 is about 83860.3839724098. The cubic root of 7032564000 is about 1915.8929134728.

The spelling of 7032564000 in words is "seven billion, thirty-two million, five hundred sixty-four thousand".