8953265664 has 200 divisors, whose sum is σ = 30541722288. Its totient is φ = 2557992960.

The previous prime is 8953265621. The next prime is 8953265669. The reversal of 8953265664 is 4665623598.

8953265664 is a `hidden beast` number, since 8 + 9 + 53 + 26 + 566 + 4 = 666.

It is a super-2 number, since 2×8953265664² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8953265664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8953265669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274884 + ... + 305724.

Almost surely, 2^8953265664 is an apocalyptic number.

8953265664 is a gapful number since it is divisible by the number (84) 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 8953265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270861144).

8953265664 is an abundant number, since it is smaller than the sum of its proper divisors (21588456624).

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

8953265664 is an equidigital number, since it uses as much as digits as its factorization.

8953265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30878 (or 30853 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 8953265664 is about 94621.6976385438. The cubic root of 8953265664 is about 2076.4771531769.

The spelling of 8953265664 in words is "eight billion, nine hundred fifty-three million, two hundred sixty-five thousand, six hundred sixty-four".