6631689680 has 320 divisors, whose sum is σ = 19901583360. Its totient is φ = 1995571200.

The previous prime is 6631689667. The next prime is 6631689697. The reversal of 6631689680 is 869861366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25804112 + ... + 25804368.

It is an arithmetic number, because the mean of its divisors is an integer number (62192448).

Almost surely, 2^6631689680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950791680).

6631689680 is an abundant number, since it is smaller than the sum of its proper divisors (13269893680).

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

6631689680 is a wasteful number, since it uses less digits than its factorization.

6631689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 6631689680 is about 81435.1869894089. The cubic root of 6631689680 is about 1878.7748241931.

The spelling of 6631689680 in words is "six billion, six hundred thirty-one million, six hundred eighty-nine thousand, six hundred eighty".