6631126320 has 640 divisors, whose sum is σ = 27102265344. Its totient is φ = 1302884352.

The previous prime is 6631126303. The next prime is 6631126321. The reversal of 6631126320 is 236211366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6631126321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21599607 + ... + 21599913.

Almost surely, 2^6631126320 is an apocalyptic number.

6631126320 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 6631126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551132672).

6631126320 is an abundant number, since it is smaller than the sum of its proper divisors (20471139024).

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

6631126320 is a wasteful number, since it uses less digits than its factorization.

6631126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6631126320 is about 81431.7279688943. The cubic root of 6631126320 is about 1878.7216222387.

Adding to 6631126320 its reverse (236211366), we get a palindrome (6867337686).

The spelling of 6631126320 in words is "six billion, six hundred thirty-one million, one hundred twenty-six thousand, three hundred twenty".