8376385248 has 432 divisors, whose sum is σ = 31571938944. Its totient is φ = 2046136320.

The previous prime is 8376385217. The next prime is 8376385253. The reversal of 8376385248 is 8425836738.

8376385248 is a `hidden beast` number, since 83 + 7 + 6 + 38 + 524 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8376385194 and 8376385203.

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 71 ways as a sum of consecutive naturals, for example, 6408211 + ... + 6409517.

It is an arithmetic number, because the mean of its divisors is an integer number (73083192).

Almost surely, 2^8376385248 is an apocalyptic number.

8376385248 is a gapful number since it is divisible by the number (88) 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 8376385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785969472).

8376385248 is an abundant number, since it is smaller than the sum of its proper divisors (23195553696).

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

8376385248 is a wasteful number, since it uses less digits than its factorization.

8376385248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1347 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 8376385248 is about 91522.5941940022. The cubic root of 8376385248 is about 2030.8860092519.

The spelling of 8376385248 in words is "eight billion, three hundred seventy-six million, three hundred eighty-five thousand, two hundred forty-eight".