6727141465200 has 450 divisors, whose sum is σ = 26143218156264. Its totient is φ = 1655910397440.

The previous prime is 6727141465199. The next prime is 6727141465249. The reversal of 6727141465200 is 25641417276.

6727141465200 is a `hidden beast` number, since 6 + 7 + 27 + 1 + 414 + 6 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×6727141465200² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4861317 + ... + 6089883.

Almost surely, 2^{6727141465200} is an apocalyptic number.

6727141465200 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 6727141465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071609078132).

6727141465200 is an abundant number, since it is smaller than the sum of its proper divisors (19416076691064).

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

6727141465200 is a wasteful number, since it uses less digits than its factorization.

6727141465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228623 (or 1228590 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 6727141465200 in words is "six trillion, seven hundred twenty-seven billion, one hundred forty-one million, four hundred sixty-five thousand, two hundred".