8933201640 has 320 divisors, whose sum is σ = 33458261760. Its totient is φ = 2119150080.

The previous prime is 8933201621. The next prime is 8933201663. The reversal of 8933201640 is 461023398.

8933201640 is a `hidden beast` number, since 8 + 9 + 3 + 3 + 2 + 0 + 1 + 640 = 666.

8933201640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8933201595 and 8933201604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1672414 + ... + 1677746.

It is an arithmetic number, because the mean of its divisors is an integer number (104557068).

Almost surely, 2^8933201640 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 8933201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729130880).

8933201640 is an abundant number, since it is smaller than the sum of its proper divisors (24525060120).

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

8933201640 is a wasteful number, since it uses less digits than its factorization.

8933201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8933201640 is about 94515.6158526198. The cubic root of 8933201640 is about 2074.9248835245.

The spelling of 8933201640 in words is "eight billion, nine hundred thirty-three million, two hundred one thousand, six hundred forty".