4187344896 has 312 divisors, whose sum is σ = 14359019584. Its totient is φ = 1194393600.

The previous prime is 4187344789. The next prime is 4187344913. The reversal of 4187344896 is 6984437814.

4187344896 is a `hidden beast` number, since 41 + 8 + 73 + 448 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6966996 + ... + 6967596.

Almost surely, 2^4187344896 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 4187344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179509792).

4187344896 is an abundant number, since it is smaller than the sum of its proper divisors (10171674688).

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

4187344896 is an frugal number, since it uses more digits than its factorization.

4187344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 613 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4187344896 is about 64709.6970785678. The cubic root of 4187344896 is about 1611.8065310156.

The spelling of 4187344896 in words is "four billion, one hundred eighty-seven million, three hundred forty-four thousand, eight hundred ninety-six".