6632282880 has 432 divisors, whose sum is σ = 24434548320. Its totient is φ = 1656225792.

The previous prime is 6632282863. The next prime is 6632282887. The reversal of 6632282880 is 882822366.

6632282880 is a `hidden beast` number, since 6 + 632 + 2 + 8 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6632282887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34364064 + ... + 34364256.

Almost surely, 2^6632282880 is an apocalyptic number.

6632282880 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 6632282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217274160).

6632282880 is an abundant number, since it is smaller than the sum of its proper divisors (17802265440).

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

6632282880 is a wasteful number, since it uses less digits than its factorization.

6632282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6632282880 is about 81438.8290682031. The cubic root of 6632282880 is about 1878.8308408873.

The spelling of 6632282880 in words is "six billion, six hundred thirty-two million, two hundred eighty-two thousand, eight hundred eighty".