5667968452608 has 1152 divisors, whose sum is σ = 21296071480320. Its totient is φ = 1463132160000.

The previous prime is 5667968452603. The next prime is 5667968452649. The reversal of 5667968452608 is 8062548697665.

5667968452608 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 9 + 6 + 8 + 4 + 5 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5667968452603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8085546658 + ... + 8085547358.

It is an arithmetic number, because the mean of its divisors is an integer number (18486173160).

Almost surely, 2^{5667968452608} 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 5667968452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648035740160).

5667968452608 is an abundant number, since it is smaller than the sum of its proper divisors (15628103027712).

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

5667968452608 is a wasteful number, since it uses less digits than its factorization.

5667968452608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 5667968452608 in words is "five trillion, six hundred sixty-seven billion, nine hundred sixty-eight million, four hundred fifty-two thousand, six hundred eight".