8396557920 has 288 divisors, whose sum is σ = 30093729120. Its totient is φ = 2128896000.

The previous prime is 8396557903. The next prime is 8396557921. The reversal of 8396557920 is 297556938.

8396557920 is a `hidden beast` number, since 8 + 3 + 9 + 65 + 579 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8396557921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2796420 + ... + 2799420.

It is an arithmetic number, because the mean of its divisors is an integer number (104492115).

Almost surely, 2^8396557920 is an apocalyptic number.

8396557920 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 8396557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046864560).

8396557920 is an abundant number, since it is smaller than the sum of its proper divisors (21697171200).

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

8396557920 is a wasteful number, since it uses less digits than its factorization.

8396557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 8396557920 is about 91632.7338891512. The cubic root of 8396557920 is about 2032.5150155706.

The spelling of 8396557920 in words is "eight billion, three hundred ninety-six million, five hundred fifty-seven thousand, nine hundred twenty".