6631006543200 has 432 divisors, whose sum is σ = 25717035629376. Its totient is φ = 1597518028800.

The previous prime is 6631006543177. The next prime is 6631006543211. The reversal of 6631006543200 is 23456001366.

6631006543200 is a `hidden beast` number, since 6 + 6 + 3 + 100 + 6 + 543 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×6631006543200² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645540 + ... + 5152860.

It is an arithmetic number, because the mean of its divisors is an integer number (59530175068).

Almost surely, 2^{6631006543200} is an apocalyptic number.

6631006543200 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 6631006543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858517814688).

6631006543200 is an abundant number, since it is smaller than the sum of its proper divisors (19086029086176).

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

6631006543200 is a wasteful number, since it uses less digits than its factorization.

6631006543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507407 (or 1507391 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 6631006543200 in words is "six trillion, six hundred thirty-one billion, six million, five hundred forty-three thousand, two hundred".