8797624416 has 432 divisors, whose sum is σ = 31229452800. Its totient is φ = 2294853120.

The previous prime is 8797624403. The next prime is 8797624427. The reversal of 8797624416 is 6144267978.

8797624416 is a `hidden beast` number, since 8 + 7 + 9 + 7 + 624 + 4 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36810025 + ... + 36810263.

It is an arithmetic number, because the mean of its divisors is an integer number (72290400).

Almost surely, 2^8797624416 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 8797624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614726400).

8797624416 is an abundant number, since it is smaller than the sum of its proper divisors (22431828384).

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

8797624416 is a wasteful number, since it uses less digits than its factorization.

8797624416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 301 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 8797624416 is about 93795.6524365602. The cubic root of 8797624416 is about 2064.3744363048.

The spelling of 8797624416 in words is "eight billion, seven hundred ninety-seven million, six hundred twenty-four thousand, four hundred sixteen".