7668321840 has 320 divisors, whose sum is σ = 27416995200. Its totient is φ = 1993144320.

The previous prime is 7668321827. The next prime is 7668321889. The reversal of 7668321840 is 481238667.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 7172826 + ... + 7173894.

It is an arithmetic number, because the mean of its divisors is an integer number (85678110).

Almost surely, 2^7668321840 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 7668321840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708497600).

7668321840 is an abundant number, since it is smaller than the sum of its proper divisors (19748673360).

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

7668321840 is a wasteful number, since it uses less digits than its factorization.

7668321840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7668321840 is about 87568.9547727960. The cubic root of 7668321840 is about 1971.9691237124.

The spelling of 7668321840 in words is "seven billion, six hundred sixty-eight million, three hundred twenty-one thousand, eight hundred forty".