6721168608 has 432 divisors, whose sum is σ = 24469361280. Its totient is φ = 1712494080.

The previous prime is 6721168607. The next prime is 6721168613. The reversal of 6721168608 is 8068611276.

It is a happy number.

6721168608 is a `hidden beast` number, since 6 + 7 + 21 + 16 + 8 + 608 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6721168607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14391991 + ... + 14392457.

It is an arithmetic number, because the mean of its divisors is an integer number (56642040).

Almost surely, 2^6721168608 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 6721168608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234680640).

6721168608 is an abundant number, since it is smaller than the sum of its proper divisors (17748192672).

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

6721168608 is a wasteful number, since it uses less digits than its factorization.

6721168608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6721168608 is about 81982.7335967763. The cubic root of 6721168608 is about 1887.1869733841.

The spelling of 6721168608 in words is "six billion, seven hundred twenty-one million, one hundred sixty-eight thousand, six hundred eight".