6168153680640 has 1512 divisors, whose sum is σ = 25910784543168. Its totient is φ = 1402098647040.

The previous prime is 6168153680639. The next prime is 6168153680651. The reversal of 6168153680640 is 460863518616.

6168153680640 is a `hidden beast` number, since 6 + 1 + 68 + 1 + 536 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×6168153680640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14311261225 + ... + 14311261655.

It is an arithmetic number, because the mean of its divisors is an integer number (17136762264).

Almost surely, 2^{6168153680640} is an apocalyptic number.

6168153680640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6168153680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955392271584).

6168153680640 is an abundant number, since it is smaller than the sum of its proper divisors (19742630862528).

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

6168153680640 is an equidigital number, since it uses as much as digits as its factorization.

6168153680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6168153680640 in words is "six trillion, one hundred sixty-eight billion, one hundred fifty-three million, six hundred eighty thousand, six hundred forty".