8408798864928 has 1296 divisors, whose sum is σ = 32542182848448. Its totient is φ = 2000571955200.

The previous prime is 8408798864887. The next prime is 8408798864929. The reversal of 8408798864928 is 8294688978048.

8408798864928 is a `hidden beast` number, since 8 + 40 + 8 + 7 + 9 + 8 + 86 + 492 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8408798864929) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7693319550 + ... + 7693320642.

It is an arithmetic number, because the mean of its divisors is an integer number (25109708988).

Almost surely, 2^{8408798864928} is an apocalyptic number.

8408798864928 is a gapful number since it is divisible by the number (88) 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 8408798864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271091424224).

8408798864928 is an abundant number, since it is smaller than the sum of its proper divisors (24133383983520).

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

8408798864928 is a wasteful number, since it uses less digits than its factorization.

8408798864928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 8408798864928 in words is "eight trillion, four hundred eight billion, seven hundred ninety-eight million, eight hundred sixty-four thousand, nine hundred twenty-eight".