6003615661200 has 240 divisors, whose sum is σ = 21457841491200. Its totient is φ = 1594264896000.

The previous prime is 6003615661133. The next prime is 6003615661207. The reversal of 6003615661200 is 21665163006.

6003615661200 is a `hidden beast` number, since 6 + 0 + 0 + 36 + 1 + 5 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (6003615661207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418250 + ... + 3744150.

It is an arithmetic number, because the mean of its divisors is an integer number (89407672880).

Almost surely, 2^{6003615661200} is an apocalyptic number.

6003615661200 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 6003615661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728920745600).

6003615661200 is an abundant number, since it is smaller than the sum of its proper divisors (15454225830000).

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

6003615661200 is a wasteful number, since it uses less digits than its factorization.

6003615661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326167 (or 2326150 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6003615661200 in words is "six trillion, three billion, six hundred fifteen million, six hundred sixty-one thousand, two hundred".