6642717120 has 224 divisors, whose sum is σ = 25237074240. Its totient is φ = 1635102720.

The previous prime is 6642717113. The next prime is 6642717121. The reversal of 6642717120 is 217172466.

6642717120 is a `hidden beast` number, since 6 + 642 + 7 + 1 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642717121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82750 + ... + 141890.

It is an arithmetic number, because the mean of its divisors is an integer number (112665510).

Almost surely, 2^6642717120 is an apocalyptic number.

6642717120 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 6642717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618537120).

6642717120 is an abundant number, since it is smaller than the sum of its proper divisors (18594357120).

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

6642717120 is a wasteful number, since it uses less digits than its factorization.

6642717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59180 (or 59164 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6642717120 is about 81502.8657164888. The cubic root of 6642717120 is about 1879.8156149331.

Adding to 6642717120 its reverse (217172466), we get a palindrome (6859889586).

The spelling of 6642717120 in words is "six billion, six hundred forty-two million, seven hundred seventeen thousand, one hundred twenty".