6623417035872 has 864 divisors, whose sum is σ = 24795316728000. Its totient is φ = 1632767901696.

The previous prime is 6623417035853. The next prime is 6623417035927. The reversal of 6623417035872 is 2785307143266.

It is a happy number.

6623417035872 is a `hidden beast` number, since 6 + 623 + 4 + 1 + 7 + 0 + 3 + 5 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1128539754 + ... + 1128545622.

It is an arithmetic number, because the mean of its divisors is an integer number (28698283250).

Almost surely, 2^{6623417035872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6623417035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397658364000).

6623417035872 is an abundant number, since it is smaller than the sum of its proper divisors (18171899692128).

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

6623417035872 is a wasteful number, since it uses less digits than its factorization.

6623417035872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 6623417035872 in words is "six trillion, six hundred twenty-three billion, four hundred seventeen million, thirty-five thousand, eight hundred seventy-two".