8967892752 has 320 divisors, whose sum is σ = 31905180160. Its totient is φ = 2348476416.

The previous prime is 8967892709. The next prime is 8967892757. The reversal of 8967892752 is 2572987698.

It is a super-2 number, since 2×8967892752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 8967892752.

It is not an unprimeable number, because it can be changed into a prime (8967892757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6171258 + ... + 6172710.

It is an arithmetic number, because the mean of its divisors is an integer number (99703688).

Almost surely, 2^8967892752 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 8967892752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952590080).

8967892752 is an abundant number, since it is smaller than the sum of its proper divisors (22937287408).

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

8967892752 is a wasteful number, since it uses less digits than its factorization.

8967892752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1635 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 8967892752 is about 94698.9585581594. The cubic root of 8967892752 is about 2077.6073288397.

The spelling of 8967892752 in words is "eight billion, nine hundred sixty-seven million, eight hundred ninety-two thousand, seven hundred fifty-two".