6540188570370 has 480 divisors, whose sum is σ = 22052670737328. Its totient is φ = 1378526542848.

The previous prime is 6540188570303. The next prime is 6540188570371. The reversal of 6540188570370 is 730758810456.

It is a happy number.

6540188570370 is a `hidden beast` number, since 6 + 5 + 40 + 188 + 57 + 0 + 370 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5014056945681 + 1526131624689 = 2239209^2 + 1235367^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6540188570371) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 563949412 + ... + 563961008.

Almost surely, 2^{6540188570370} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540188570370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026335368664).

6540188570370 is an abundant number, since it is smaller than the sum of its proper divisors (15512482166958).

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

6540188570370 is a wasteful number, since it uses less digits than its factorization.

6540188570370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12736 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 6540188570370 in words is "six trillion, five hundred forty billion, one hundred eighty-eight million, five hundred seventy thousand, three hundred seventy".