6470181120 has 576 divisors, whose sum is σ = 23801186304. Its totient is φ = 1486356480.

The previous prime is 6470181073. The next prime is 6470181197. The reversal of 6470181120 is 211810746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57258184 + ... + 57258296.

It is an arithmetic number, because the mean of its divisors is an integer number (41321504).

Almost surely, 2^6470181120 is an apocalyptic number.

6470181120 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 6470181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900593152).

6470181120 is an abundant number, since it is smaller than the sum of its proper divisors (17331005184).

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

6470181120 is a wasteful number, since it uses less digits than its factorization.

6470181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 6470181120 is about 80437.4360605806. The cubic root of 6470181120 is about 1863.3973749905.

Adding to 6470181120 its reverse (211810746), we get a palindrome (6681991866).

The spelling of 6470181120 in words is "six billion, four hundred seventy million, one hundred eighty-one thousand, one hundred twenty".