4136237664 has 96 divisors (see below), whose sum is σ = 11706002784. Its totient is φ = 1271255040.

The previous prime is 4136237629. The next prime is 4136237671. The reversal of 4136237664 is 4667326314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812204 + ... + 1814484.

It is an arithmetic number, because the mean of its divisors is an integer number (121937529).

Almost surely, 2^4136237664 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 4136237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853001392).

4136237664 is an abundant number, since it is smaller than the sum of its proper divisors (7569765120).

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

4136237664 is a wasteful number, since it uses less digits than its factorization.

4136237664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3752 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 4136237664 is about 64313.5884864155. The cubic root of 4136237664 is about 1605.2222159108. Note that the first 4 decimals are identical.

The spelling of 4136237664 in words is "four billion, one hundred thirty-six million, two hundred thirty-seven thousand, six hundred sixty-four".