8952317640 has 960 divisors, whose sum is σ = 38614371840. Its totient is φ = 1846333440.

The previous prime is 8952317639. The next prime is 8952317641. The reversal of 8952317640 is 467132598.

8952317640 is a `hidden beast` number, since 89 + 523 + 1 + 7 + 6 + 40 = 666.

8952317640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8952317639) and next prime (8952317641).

It is a super-2 number, since 2×8952317640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

8952317640 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8952317641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83666467 + ... + 83666573.

It is an arithmetic number, because the mean of its divisors is an integer number (40223304).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8952317640 = 17904635280, but 3⋅8952317640 = 26856952920 is not.

Almost surely, 2^8952317640 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 8952317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307185920).

8952317640 is an abundant number, since it is smaller than the sum of its proper divisors (29662054200).

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

8952317640 is a wasteful number, since it uses less digits than its factorization.

8952317640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8952317640 is about 94616.6879572520. The cubic root of 8952317640 is about 2076.4038607517.

The spelling of 8952317640 in words is "eight billion, nine hundred fifty-two million, three hundred seventeen thousand, six hundred forty".