6631340400 has 300 divisors, whose sum is σ = 24209704200. Its totient is φ = 1737884160.

The previous prime is 6631340351. The next prime is 6631340447. The reversal of 6631340400 is 40431366.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1909866 + ... + 1913334.

It is an arithmetic number, because the mean of its divisors is an integer number (80699014).

Almost surely, 2^6631340400 is an apocalyptic number.

6631340400 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 6631340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104852100).

6631340400 is an abundant number, since it is smaller than the sum of its proper divisors (17578363800).

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

6631340400 is a wasteful number, since it uses less digits than its factorization.

6631340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6631340400 is about 81433.0424336461. The cubic root of 6631340400 is about 1878.7418396385.

Adding to 6631340400 its reverse (40431366), we get a palindrome (6671771766).

The spelling of 6631340400 in words is "six billion, six hundred thirty-one million, three hundred forty thousand, four hundred".