6542516736 has 480 divisors, whose sum is σ = 22750865280. Its totient is φ = 1771241472.

The previous prime is 6542516719. The next prime is 6542516777. The reversal of 6542516736 is 6376152456.

6542516736 is a `hidden beast` number, since 65 + 4 + 2 + 516 + 73 + 6 = 666.

Its product of digits (907200) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 6542516691 and 6542516700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73511380 + ... + 73511468.

It is an arithmetic number, because the mean of its divisors is an integer number (47397636).

Almost surely, 2^6542516736 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 6542516736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375432640).

6542516736 is an abundant number, since it is smaller than the sum of its proper divisors (16208348544).

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

6542516736 is a wasteful number, since it uses less digits than its factorization.

6542516736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 6542516736 is about 80885.8253095065. The cubic root of 6542516736 is about 1870.3158203374.

The spelling of 6542516736 in words is "six billion, five hundred forty-two million, five hundred sixteen thousand, seven hundred thirty-six".