8240203776 has 288 divisors, whose sum is σ = 25903463040. Its totient is φ = 2322432000.

The previous prime is 8240203709. The next prime is 8240203799. The reversal of 8240203776 is 6773020428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30406521 + ... + 30406791.

It is an arithmetic number, because the mean of its divisors is an integer number (89942580).

Almost surely, 2^8240203776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240203776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951731520).

8240203776 is an abundant number, since it is smaller than the sum of its proper divisors (17663259264).

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

8240203776 is a wasteful number, since it uses less digits than its factorization.

8240203776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 8240203776 is about 90775.5681667705. The cubic root of 8240203776 is about 2019.8199179396.

The spelling of 8240203776 in words is "eight billion, two hundred forty million, two hundred three thousand, seven hundred seventy-six".