8205057432 has 768 divisors, whose sum is σ = 30030336000. Its totient is φ = 2052864000.

The previous prime is 8205057409. The next prime is 8205057449. The reversal of 8205057432 is 2347505028.

8205057432 is a `hidden beast` number, since 8 + 2 + 0 + 50 + 574 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200123332 + ... + 200123372.

It is an arithmetic number, because the mean of its divisors is an integer number (39102000).

Almost surely, 2^8205057432 is an apocalyptic number.

8205057432 is a gapful number since it is divisible by the number (82) 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 8205057432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168000).

8205057432 is an abundant number, since it is smaller than the sum of its proper divisors (21825278568).

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

8205057432 is a wasteful number, since it uses less digits than its factorization.

8205057432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 8205057432 is about 90581.7720736352. The cubic root of 8205057432 is about 2016.9441616311.

The spelling of 8205057432 in words is "eight billion, two hundred five million, fifty-seven thousand, four hundred thirty-two".