6626253392640 has 1728 divisors, whose sum is σ = 29530173603840. Its totient is φ = 1388303400960.

The previous prime is 6626253392611. The next prime is 6626253392651. The reversal of 6626253392640 is 462933526266.

6626253392640 is a `hidden beast` number, since 6 + 6 + 2 + 62 + 533 + 9 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6626253392640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1282415337 + ... + 1282420503.

Almost surely, 2^{6626253392640} is an apocalyptic number.

6626253392640 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 6626253392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765086801920).

6626253392640 is an abundant number, since it is smaller than the sum of its proper divisors (22903920211200).

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

6626253392640 is a wasteful number, since it uses less digits than its factorization.

6626253392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 6626253392640 in words is "six trillion, six hundred twenty-six billion, two hundred fifty-three million, three hundred ninety-two thousand, six hundred forty".