8949435264 has 768 divisors, whose sum is σ = 34369920000. Its totient is φ = 2212761600.

The previous prime is 8949435247. The next prime is 8949435277. The reversal of 8949435264 is 4625349498.

It is a self number, because there is not a number n which added to its sum of digits gives 8949435264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126048349 + ... + 126048419.

It is an arithmetic number, because the mean of its divisors is an integer number (44752500).

Almost surely, 2^8949435264 is an apocalyptic number.

8949435264 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 8949435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

8949435264 is an abundant number, since it is smaller than the sum of its proper divisors (25420484736).

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

8949435264 is a wasteful number, since it uses less digits than its factorization.

8949435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 8949435264 is about 94601.4548725335. The cubic root of 8949435264 is about 2076.1809903794.

The spelling of 8949435264 in words is "eight billion, nine hundred forty-nine million, four hundred thirty-five thousand, two hundred sixty-four".