6361041715200 has 990 divisors, whose sum is σ = 23752189882344. Its totient is φ = 1689828065280.

The previous prime is 6361041715163. The next prime is 6361041715201. The reversal of 6361041715200 is 25171401636.

6361041715200 is a `hidden beast` number, since 6 + 3 + 61 + 0 + 4 + 1 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×6361041715200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6361041715201) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 24186470269 + ... + 24186470531.

Almost surely, 2^{6361041715200} is an apocalyptic number.

6361041715200 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 6361041715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876094941172).

6361041715200 is an abundant number, since it is smaller than the sum of its proper divisors (17391148167144).

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

6361041715200 is an frugal number, since it uses more digits than its factorization.

6361041715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 6361041715200 in words is "six trillion, three hundred sixty-one billion, forty-one million, seven hundred fifteen thousand, two hundred".