7032513664 has 64 divisors (see below), whose sum is σ = 15372607680. Its totient is φ = 3178009600.

The previous prime is 7032513589. The next prime is 7032513667. The reversal of 7032513664 is 4663152307.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7032513667) 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 7 ways as a sum of consecutive naturals, for example, 229149 + ... + 258019.

It is an arithmetic number, because the mean of its divisors is an integer number (240196995).

Almost surely, 2^7032513664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7032513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686303840).

7032513664 is an abundant number, since it is smaller than the sum of its proper divisors (8340094016).

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

7032513664 is a wasteful number, since it uses less digits than its factorization.

7032513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29069 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 7032513664 is about 83860.0838540005. The cubic root of 7032513664 is about 1915.8883424223. Note that the first 3 decimals are identical.

The spelling of 7032513664 in words is "seven billion, thirty-two million, five hundred thirteen thousand, six hundred sixty-four".