7064288640 has 640 divisors, whose sum is σ = 27014169600. Its totient is φ = 1755758592.

The previous prime is 7064288533. The next prime is 7064288653. The reversal of 7064288640 is 468824607.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 55624257 + ... + 55624383.

It is an arithmetic number, because the mean of its divisors is an integer number (42209640).

Almost surely, 2^7064288640 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 7064288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507084800).

7064288640 is an abundant number, since it is smaller than the sum of its proper divisors (19949880960).

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

7064288640 is a wasteful number, since it uses less digits than its factorization.

7064288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7064288640 is about 84049.3226623511. The cubic root of 7064288640 is about 1918.7695240898.

The spelling of 7064288640 in words is "seven billion, sixty-four million, two hundred eighty-eight thousand, six hundred forty".