6004366195968 has 2160 divisors, whose sum is σ = 23097291571200. Its totient is φ = 1540678164480.

The previous prime is 6004366195967. The next prime is 6004366195969. The reversal of 6004366195968 is 8695916634006.

6004366195968 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 3 + 6 + 619 + 5 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6004366195967) and next prime (6004366195969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004366195967) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47278473921 + ... + 47278474047.

Almost surely, 2^{6004366195968} 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 6004366195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548645785600).

6004366195968 is an abundant number, since it is smaller than the sum of its proper divisors (17092925375232).

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

6004366195968 is a wasteful number, since it uses less digits than its factorization.

6004366195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 6004366195968 in words is "six trillion, four billion, three hundred sixty-six million, one hundred ninety-five thousand, nine hundred sixty-eight".