8497608000 has 224 divisors, whose sum is σ = 32068178688. Its totient is φ = 1942272000.

The previous prime is 8497607953. The next prime is 8497608017. The reversal of 8497608000 is 8067948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142710 + ... + 193290.

It is an arithmetic number, because the mean of its divisors is an integer number (143161512).

Almost surely, 2^8497608000 is an apocalyptic number.

8497608000 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 8497608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034089344).

8497608000 is an abundant number, since it is smaller than the sum of its proper divisors (23570570688).

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

8497608000 is a wasteful number, since it uses less digits than its factorization.

8497608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50618 (or 50598 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8497608000 is about 92182.4712187735. The cubic root of 8497608000 is about 2040.6360953707.

The spelling of 8497608000 in words is "eight billion, four hundred ninety-seven million, six hundred eight thousand".