6631034642100 has 432 divisors, whose sum is σ = 24366259584576. Its totient is φ = 1490379264000.

The previous prime is 6631034642081. The next prime is 6631034642143. The reversal of 6631034642100 is 12464301366.

6631034642100 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 0 + 3 + 4 + 642 + 1 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 10982070 + ... + 11570130.

It is an arithmetic number, because the mean of its divisors is an integer number (56403378668).

Almost surely, 2^{6631034642100} is an apocalyptic number.

6631034642100 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 6631034642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183129792288).

6631034642100 is an abundant number, since it is smaller than the sum of its proper divisors (17735224942476).

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

6631034642100 is a wasteful number, since it uses less digits than its factorization.

6631034642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588176 (or 588166 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 6631034642100 its reverse (12464301366), we get a palindrome (6643498943466).

The spelling of 6631034642100 in words is "six trillion, six hundred thirty-one billion, thirty-four million, six hundred forty-two thousand, one hundred".