8964732672000 has 3456 divisors, whose sum is σ = 41512271411520. Its totient is φ = 1917399859200.

The previous prime is 8964732671971. The next prime is 8964732672001. The reversal of 8964732672000 is 2762374698.

8964732672000 is a `hidden beast` number, since 8 + 96 + 473 + 2 + 67 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8964732672001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51819263914 + ... + 51819264086.

Almost surely, 2^{8964732672000} is an apocalyptic number.

8964732672000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8964732672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756135705760).

8964732672000 is an abundant number, since it is smaller than the sum of its proper divisors (32547538739520).

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

8964732672000 is a wasteful number, since it uses less digits than its factorization.

8964732672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 207 counting only the distinct ones).

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

The spelling of 8964732672000 in words is "eight trillion, nine hundred sixty-four billion, seven hundred thirty-two million, six hundred seventy-two thousand".