6168005222400 has 1512 divisors, whose sum is σ = 26542076805504. Its totient is φ = 1363732070400.

The previous prime is 6168005222383. The next prime is 6168005222411. The reversal of 6168005222400 is 42225008616.

It is a happy number.

6168005222400 is a `hidden beast` number, since 6 + 16 + 80 + 0 + 522 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2799819699 + ... + 2799821901.

Almost surely, 2^{6168005222400} is an apocalyptic number.

6168005222400 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 6168005222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271038402752).

6168005222400 is an abundant number, since it is smaller than the sum of its proper divisors (20374071583104).

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

6168005222400 is a wasteful number, since it uses less digits than its factorization.

6168005222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2251 counting only the distinct ones).

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

The spelling of 6168005222400 in words is "six trillion, one hundred sixty-eight billion, five million, two hundred twenty-two thousand, four hundred".