6538725438984 has 144 divisors (see below), whose sum is σ = 18331695764460. Its totient is φ = 2105467027200.

The previous prime is 6538725438977. The next prime is 6538725438991. The reversal of 6538725438984 is 4898345278356.

6538725438984 is a `hidden beast` number, since 6 + 5 + 3 + 8 + 72 + 543 + 8 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6538725438977) and next prime (6538725438991).

It can be written as a sum of positive squares in 2 ways, for example, as 5950623572100 + 588101866884 = 2439390^2 + 766878^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38455114 + ... + 38624774.

Almost surely, 2^{6538725438984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6538725438984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165847882230).

6538725438984 is an abundant number, since it is smaller than the sum of its proper divisors (11792970325476).

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

6538725438984 is a wasteful number, since it uses less digits than its factorization.

6538725438984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170292 (or 170254 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 6538725438984 in words is "six trillion, five hundred thirty-eight billion, seven hundred twenty-five million, four hundred thirty-eight thousand, nine hundred eighty-four".