7584625664 has 352 divisors, whose sum is σ = 20374364160. Its totient is φ = 2735308800.

The previous prime is 7584625663. The next prime is 7584625673. The reversal of 7584625664 is 4665264857.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7584625663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70884299 + ... + 70884405.

Almost surely, 2^7584625664 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 7584625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10187182080).

7584625664 is an abundant number, since it is smaller than the sum of its proper divisors (12789738496).

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

7584625664 is a wasteful number, since it uses less digits than its factorization.

7584625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 53.

The square root of 7584625664 is about 87089.7563666359. The cubic root of 7584625664 is about 1964.7684865165.

The spelling of 7584625664 in words is "seven billion, five hundred eighty-four million, six hundred twenty-five thousand, six hundred sixty-four".