6626660040 has 1152 divisors, whose sum is σ = 30653925120. Its totient is φ = 1219276800.

The previous prime is 6626660011. The next prime is 6626660063. The reversal of 6626660040 is 400666266.

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 = 6626659977 and 6626660004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93333205 + ... + 93333275.

It is an arithmetic number, because the mean of its divisors is an integer number (26609310).

Almost surely, 2^6626660040 is an apocalyptic number.

6626660040 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 6626660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326962560).

6626660040 is an abundant number, since it is smaller than the sum of its proper divisors (24027265080).

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

6626660040 is a wasteful number, since it uses less digits than its factorization.

6626660040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6626660040 is about 81404.2998864311. The cubic root of 6626660040 is about 1878.2997340629.

It can be divided in two parts, 6626 and 660040, that added together give a palindrome (666666).

The spelling of 6626660040 in words is "six billion, six hundred twenty-six million, six hundred sixty thousand, forty".