4087096704 has 192 divisors, whose sum is σ = 12326867280. Its totient is φ = 1347840000.

The previous prime is 4087096703. The next prime is 4087096709. The reversal of 4087096704 is 4076907804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4087096704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087096703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140854 + ... + 3142154.

Almost surely, 2^4087096704 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 4087096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163433640).

4087096704 is an abundant number, since it is smaller than the sum of its proper divisors (8239770576).

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

4087096704 is a wasteful number, since it uses less digits than its factorization.

4087096704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4087096704 is about 63930.4051606120. The cubic root of 4087096704 is about 1598.8398756897.

The spelling of 4087096704 in words is "four billion, eighty-seven million, ninety-six thousand, seven hundred four".