6537381120 has 216 divisors, whose sum is σ = 23172006312. Its totient is φ = 1700659200.

The previous prime is 6537381083. The next prime is 6537381211. The reversal of 6537381120 is 211837356.

6537381120 is a `hidden beast` number, since 6 + 537 + 3 + 8 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 6518301696 = 4368^2 + 80736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465400 + ... + 479240.

It is an arithmetic number, because the mean of its divisors is an integer number (107277807).

Almost surely, 2^6537381120 is an apocalyptic number.

6537381120 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 6537381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586003156).

6537381120 is an abundant number, since it is smaller than the sum of its proper divisors (16634625192).

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

6537381120 is a wasteful number, since it uses less digits than its factorization.

6537381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6537381120 is about 80854.0729957372. The cubic root of 6537381120 is about 1869.8263176696.

The spelling of 6537381120 in words is "six billion, five hundred thirty-seven million, three hundred eighty-one thousand, one hundred twenty".