8240256000 has 528 divisors, whose sum is σ = 31085054208. Its totient is φ = 2095104000.

The previous prime is 8240255983. The next prime is 8240256047. The reversal of 8240256000 is 6520428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26495845 + ... + 26496155.

Almost surely, 2^8240256000 is an apocalyptic number.

8240256000 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 8240256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542527104).

8240256000 is an abundant number, since it is smaller than the sum of its proper divisors (22844798208).

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

8240256000 is a wasteful number, since it uses less digits than its factorization.

8240256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8240256000 is about 90775.8558208073. The cubic root of 8240256000 is about 2019.8241849398.

Adding to 8240256000 its reverse (6520428), we get a palindrome (8246776428).

The spelling of 8240256000 in words is "eight billion, two hundred forty million, two hundred fifty-six thousand".