7217004564 has 72 divisors (see below), whose sum is σ = 22744507968. Its totient is φ = 1874545920.

The previous prime is 7217004563. The next prime is 7217004617. The reversal of 7217004564 is 4654007127.

7217004564 is a `hidden beast` number, since 7 + 21 + 70 + 0 + 4 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7217004563) 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 23 ways as a sum of consecutive naturals, for example, 1298997 + ... + 1304540.

It is an arithmetic number, because the mean of its divisors is an integer number (315895944).

Almost surely, 2^7217004564 is an apocalyptic number.

It is an amenable number.

7217004564 is an abundant number, since it is smaller than the sum of its proper divisors (15527503404).

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

7217004564 is a wasteful number, since it uses less digits than its factorization.

7217004564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603565 (or 2603560 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7217004564 is about 84952.9550045200. The cubic root of 7217004564 is about 1932.4977338535.

The spelling of 7217004564 in words is "seven billion, two hundred seventeen million, four thousand, five hundred sixty-four".