6168981772800 has 4800 divisors, whose sum is σ = 30943769472000. Its totient is φ = 1199768371200.

The previous prime is 6168981772783. The next prime is 6168981772859. The reversal of 6168981772800 is 82771898616.

6168981772800 is a `hidden beast` number, since 616 + 8 + 9 + 8 + 1 + 7 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×6168981772800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 74325081559 + ... + 74325081641.

It is an arithmetic number, because the mean of its divisors is an integer number (6446618640).

Almost surely, 2^{6168981772800} is an apocalyptic number.

6168981772800 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 6168981772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471884736000).

6168981772800 is an abundant number, since it is smaller than the sum of its proper divisors (24774787699200).

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

6168981772800 is a wasteful number, since it uses less digits than its factorization.

6168981772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 6168981772800 in words is "six trillion, one hundred sixty-eight billion, nine hundred eighty-one million, seven hundred seventy-two thousand, eight hundred".