7663128564 has 144 divisors (see below), whose sum is σ = 23293294080. Its totient is φ = 1914606720.

The previous prime is 7663128559. The next prime is 7663128581. The reversal of 7663128564 is 4658213667.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255519 + ... + 283929.

Almost surely, 2^7663128564 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 7663128564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646647040).

7663128564 is an abundant number, since it is smaller than the sum of its proper divisors (15630165516).

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

7663128564 is a wasteful number, since it uses less digits than its factorization.

7663128564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28470 (or 28455 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 7663128564 is about 87539.2972555755. The cubic root of 7663128564 is about 1971.5238592914.

The spelling of 7663128564 in words is "seven billion, six hundred sixty-three million, one hundred twenty-eight thousand, five hundred sixty-four".