7668144000 has 768 divisors, whose sum is σ = 30978754560. Its totient is φ = 1801728000.

The previous prime is 7668143999. The next prime is 7668144017. The reversal of 7668144000 is 4418667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74447949 + ... + 74448051.

It is an arithmetic number, because the mean of its divisors is an integer number (40336920).

Almost surely, 2^7668144000 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 7668144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489377280).

7668144000 is an abundant number, since it is smaller than the sum of its proper divisors (23310610560).

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

7668144000 is a wasteful number, since it uses less digits than its factorization.

7668144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7668144000 is about 87567.9393385502. The cubic root of 7668144000 is about 1971.9538792774.

The spelling of 7668144000 in words is "seven billion, six hundred sixty-eight million, one hundred forty-four thousand".