8764664832 has 704 divisors, whose sum is σ = 33957273600. Its totient is φ = 2165391360.

The previous prime is 8764664791. The next prime is 8764664851. The reversal of 8764664832 is 2384664678.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48964519 + ... + 48964697.

Almost surely, 2^8764664832 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 8764664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978636800).

8764664832 is an abundant number, since it is smaller than the sum of its proper divisors (25192608768).

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

8764664832 is a wasteful number, since it uses less digits than its factorization.

8764664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 8764664832 is about 93619.7886773945. The cubic root of 8764664832 is about 2061.7932065455.

The spelling of 8764664832 in words is "eight billion, seven hundred sixty-four million, six hundred sixty-four thousand, eight hundred thirty-two".