8880945408 has 288 divisors, whose sum is σ = 27042283520. Its totient is φ = 2874009600.

The previous prime is 8880945407. The next prime is 8880945421. The reversal of 8880945408 is 8045490888.

8880945408 is a `hidden beast` number, since 8 + 8 + 8 + 0 + 94 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (8880945407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58814133 + ... + 58814283.

Almost surely, 2^8880945408 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 8880945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521141760).

8880945408 is an abundant number, since it is smaller than the sum of its proper divisors (18161338112).

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

8880945408 is a wasteful number, since it uses less digits than its factorization.

8880945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 8880945408 is about 94238.7680734420. The cubic root of 8880945408 is about 2070.8710973516.

The spelling of 8880945408 in words is "eight billion, eight hundred eighty million, nine hundred forty-five thousand, four hundred eight".