6417110603904 has 1536 divisors, whose sum is σ = 23854628044800. Its totient is φ = 1502149017600.

The previous prime is 6417110603879. The next prime is 6417110603909. The reversal of 6417110603904 is 4093060117146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6417110603909) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 30412846359 + ... + 30412846569.

It is an arithmetic number, because the mean of its divisors is an integer number (15530356800).

Almost surely, 2^{6417110603904} is an apocalyptic number.

6417110603904 is a gapful number since it is divisible by the number (64) 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 6417110603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11927314022400).

6417110603904 is an abundant number, since it is smaller than the sum of its proper divisors (17437517440896).

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

6417110603904 is a wasteful number, since it uses less digits than its factorization.

6417110603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 6417110603904 in words is "six trillion, four hundred seventeen billion, one hundred ten million, six hundred three thousand, nine hundred four".