6254220168000 has 3584 divisors, whose sum is σ = 29579157504000. Its totient is φ = 1260306432000.

The previous prime is 6254220167963. The next prime is 6254220168041. The reversal of 6254220168000 is 8610224526.

It is a happy number.

6254220168000 is a `hidden beast` number, since 6 + 2 + 542 + 20 + 16 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41974631926 + ... + 41974632074.

Almost surely, 2^{6254220168000} is an apocalyptic number.

6254220168000 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 6254220168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789578752000).

6254220168000 is an abundant number, since it is smaller than the sum of its proper divisors (23324937336000).

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

6254220168000 is a wasteful number, since it uses less digits than its factorization.

6254220168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 6254220168000 in words is "six trillion, two hundred fifty-four billion, two hundred twenty million, one hundred sixty-eight thousand".