8189475840 has 1320 divisors, whose sum is σ = 37949611392. Its totient is φ = 1672151040.

The previous prime is 8189475839. The next prime is 8189475857. The reversal of 8189475840 is 485749818.

8189475840 is a `hidden beast` number, since 8 + 18 + 9 + 47 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264176625 + ... + 264176655.

Almost surely, 2^8189475840 is an apocalyptic number.

8189475840 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 8189475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974805696).

8189475840 is an abundant number, since it is smaller than the sum of its proper divisors (29760135552).

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

8189475840 is a wasteful number, since it uses less digits than its factorization.

8189475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 8189475840 is about 90495.7227718526. The cubic root of 8189475840 is about 2015.6666115368. Note that the first 4 decimals are identical.

The spelling of 8189475840 in words is "eight billion, one hundred eighty-nine million, four hundred seventy-five thousand, eight hundred forty".