4187641536 has 126 divisors (see below), whose sum is σ = 12997761660. Its totient is φ = 1288475136.

The previous prime is 4187641531. The next prime is 4187641561. The reversal of 4187641536 is 6351467814.

4187641536 is a `hidden beast` number, since 4 + 1 + 8 + 76 + 41 + 536 = 666.

4187641536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4187641491 and 4187641500.

It is not an unprimeable number, because it can be changed into a prime (4187641531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75835 + ... + 118853.

Almost surely, 2^4187641536 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 4187641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498880830).

4187641536 is an abundant number, since it is smaller than the sum of its proper divisors (8810120124).

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

4187641536 is a wasteful number, since it uses less digits than its factorization.

4187641536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43063 (or 43037 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4187641536 is about 64711.9891210276. The cubic root of 4187641536 is about 1611.8445913308.

The spelling of 4187641536 in words is "four billion, one hundred eighty-seven million, six hundred forty-one thousand, five hundred thirty-six".