6640583040 has 1024 divisors, whose sum is σ = 29940019200. Its totient is φ = 1353646080.

The previous prime is 6640583039. The next prime is 6640583041. The reversal of 6640583040 is 403850466.

6640583040 is a `hidden beast` number, since 6 + 640 + 5 + 8 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6640583039) and next prime (6640583041).

It is a super-2 number, since 2×6640583040² = 88194686222271283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6640582986 and 6640583004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6640583041) 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, 64471629 + ... + 64471731.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^6640583040 is an apocalyptic number.

6640583040 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 6640583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970009600).

6640583040 is an abundant number, since it is smaller than the sum of its proper divisors (23299436160).

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

6640583040 is a wasteful number, since it uses less digits than its factorization.

6640583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6640583040 is about 81489.7726098190. The cubic root of 6640583040 is about 1879.6142863443.

The spelling of 6640583040 in words is "six billion, six hundred forty million, five hundred eighty-three thousand, forty".