8875435680 has 480 divisors, whose sum is σ = 32703035904. Its totient is φ = 2264868864.

The previous prime is 8875435651. The next prime is 8875435691. The reversal of 8875435680 is 865345788.

8875435680 is a `hidden beast` number, since 8 + 8 + 75 + 4 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39800049 + ... + 39800271.

Almost surely, 2^8875435680 is an apocalyptic number.

8875435680 is a gapful number since it is divisible by the number (80) 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 8875435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351517952).

8875435680 is an abundant number, since it is smaller than the sum of its proper divisors (23827600224).

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

8875435680 is a wasteful number, since it uses less digits than its factorization.

8875435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 8875435680 is about 94209.5307280532. The cubic root of 8875435680 is about 2070.4427534336.

The spelling of 8875435680 in words is "eight billion, eight hundred seventy-five million, four hundred thirty-five thousand, six hundred eighty".