8964732672 has 648 divisors, whose sum is σ = 33206178096. Its totient is φ = 2396749824.

The previous prime is 8964732571. The next prime is 8964732709. The reversal of 8964732672 is 2762374698.

8964732672 is a `hidden beast` number, since 89 + 6 + 473 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51819178 + ... + 51819350.

It is an arithmetic number, because the mean of its divisors is an integer number (51244102).

Almost surely, 2^8964732672 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 8964732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603089048).

8964732672 is an abundant number, since it is smaller than the sum of its proper divisors (24241445424).

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

8964732672 is a wasteful number, since it uses less digits than its factorization.

8964732672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 8964732672 is about 94682.2722160807. The cubic root of 8964732672 is about 2077.3632664248.

The spelling of 8964732672 in words is "eight billion, nine hundred sixty-four million, seven hundred thirty-two thousand, six hundred seventy-two".