6017981864400 has 2400 divisors, whose sum is σ = 26722155208320. Its totient is φ = 1278001152000.

The previous prime is 6017981864371. The next prime is 6017981864413. The reversal of 6017981864400 is 44681897106.

6017981864400 is a `hidden beast` number, since 6 + 0 + 17 + 9 + 8 + 186 + 440 + 0 = 666.

It is a super-2 number, since 2×6017981864400² (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 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, 7022148772 + ... + 7022149628.

Almost surely, 2^{6017981864400} is an apocalyptic number.

6017981864400 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 6017981864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361077604160).

6017981864400 is an abundant number, since it is smaller than the sum of its proper divisors (20704173343920).

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

6017981864400 is a wasteful number, since it uses less digits than its factorization.

6017981864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 6017981864400 in words is "six trillion, seventeen billion, nine hundred eighty-one million, eight hundred sixty-four thousand, four hundred".