6417511321680 has 240 divisors, whose sum is σ = 21605710712976. Its totient is φ = 1707086684160.

The previous prime is 6417511321601. The next prime is 6417511321691. The reversal of 6417511321680 is 861231157146.

6417511321680 is a `hidden beast` number, since 6 + 4 + 17 + 511 + 32 + 16 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2122371130896 + 4295140190784 = 1456836^2 + 2072472^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875151294 + ... + 875158626.

Almost surely, 2^{6417511321680} is an apocalyptic number.

6417511321680 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 6417511321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802855356488).

6417511321680 is an abundant number, since it is smaller than the sum of its proper divisors (15188199391296).

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

6417511321680 is a wasteful number, since it uses less digits than its factorization.

6417511321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 6417511321680 in words is "six trillion, four hundred seventeen billion, five hundred eleven million, three hundred twenty-one thousand, six hundred eighty".