8327490768 has 400 divisors, whose sum is σ = 26380632960. Its totient is φ = 2529128448.

The previous prime is 8327490763. The next prime is 8327490827. The reversal of 8327490768 is 8670947238.

8327490768 is a `hidden beast` number, since 83 + 2 + 7 + 490 + 76 + 8 = 666.

It is a super-2 number, since 2×8327490768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8327490763) 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 79 ways as a sum of consecutive naturals, for example, 93567268 + ... + 93567356.

Almost surely, 2^8327490768 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 8327490768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190316480).

8327490768 is an abundant number, since it is smaller than the sum of its proper divisors (18053142192).

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

8327490768 is a wasteful number, since it uses less digits than its factorization.

8327490768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8327490768 is about 91255.0862582464. The cubic root of 8327490768 is about 2026.9267455839.

The spelling of 8327490768 in words is "eight billion, three hundred twenty-seven million, four hundred ninety thousand, seven hundred sixty-eight".