8768493840 has 320 divisors, whose sum is σ = 29410117632. Its totient is φ = 2156544000.

The previous prime is 8768493827. The next prime is 8768493841. The reversal of 8768493840 is 483948678.

It is not an unprimeable number, because it can be changed into a prime (8768493841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14589540 + ... + 14590140.

Almost surely, 2^8768493840 is an apocalyptic number.

8768493840 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 8768493840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705058816).

8768493840 is an abundant number, since it is smaller than the sum of its proper divisors (20641623792).

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

8768493840 is a wasteful number, since it uses less digits than its factorization.

8768493840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The square root of 8768493840 is about 93640.2362235380. The cubic root of 8768493840 is about 2062.0934071607.

The spelling of 8768493840 in words is "eight billion, seven hundred sixty-eight million, four hundred ninety-three thousand, eight hundred forty".