6636349440 has 672 divisors, whose sum is σ = 27499530240. Its totient is φ = 1504935936.

The previous prime is 6636349387. The next prime is 6636349451. The reversal of 6636349440 is 449436366.

6636349440 is a `hidden beast` number, since 6 + 6 + 3 + 634 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6636349440² = 88082267779576627200, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 52254657 + ... + 52254783.

It is an arithmetic number, because the mean of its divisors is an integer number (40921920).

Almost surely, 2^6636349440 is an apocalyptic number.

6636349440 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 6636349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749765120).

6636349440 is an abundant number, since it is smaller than the sum of its proper divisors (20863180800).

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

6636349440 is an equidigital number, since it uses as much as digits as its factorization.

6636349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 6636349440 is about 81463.7922024257. The cubic root of 6636349440 is about 1879.2147618517.

The spelling of 6636349440 in words is "six billion, six hundred thirty-six million, three hundred forty-nine thousand, four hundred forty".