6633492480 has 624 divisors, whose sum is σ = 25530364080. Its totient is φ = 1585446912.

The previous prime is 6633492479. The next prime is 6633492511. The reversal of 6633492480 is 842943366.

6633492480 is a `hidden beast` number, since 6 + 63 + 349 + 248 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99680256 + 6533812224 = 9984^2 + 80832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90869724 + ... + 90869796.

It is an arithmetic number, because the mean of its divisors is an integer number (40914045).

Almost surely, 2^6633492480 is an apocalyptic number.

6633492480 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 6633492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765182040).

6633492480 is an abundant number, since it is smaller than the sum of its proper divisors (18896871600).

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

6633492480 is a wasteful number, since it uses less digits than its factorization.

6633492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6633492480 is about 81446.2551625303. The cubic root of 6633492480 is about 1878.9450547348.

The spelling of 6633492480 in words is "six billion, six hundred thirty-three million, four hundred ninety-two thousand, four hundred eighty".