6364041120 has 576 divisors, whose sum is σ = 24455208960. Its totient is φ = 1498742784.

The previous prime is 6364041059. The next prime is 6364041169. The reversal of 6364041120 is 211404636.

6364041120 is a `hidden beast` number, since 6 + 3 + 640 + 4 + 1 + 12 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50110497 + ... + 50110623.

It is an arithmetic number, because the mean of its divisors is an integer number (42456960).

Almost surely, 2^6364041120 is an apocalyptic number.

6364041120 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 6364041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227604480).

6364041120 is an abundant number, since it is smaller than the sum of its proper divisors (18091167840).

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

6364041120 is a wasteful number, since it uses less digits than its factorization.

6364041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6364041120 is about 79774.9404261764. The cubic root of 6364041120 is about 1853.1517853784.

Adding to 6364041120 its reverse (211404636), we get a palindrome (6575445756).

The spelling of 6364041120 in words is "six billion, three hundred sixty-four million, forty-one thousand, one hundred twenty".