4087635696 has 240 divisors, whose sum is σ = 12206837760. Its totient is φ = 1275056640.

The previous prime is 4087635679. The next prime is 4087635743. The reversal of 4087635696 is 6965367804.

4087635696 is a `hidden beast` number, since 4 + 0 + 8 + 76 + 3 + 569 + 6 = 666.

It is a congruent number.

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, 23627866 + ... + 23628038.

It is an arithmetic number, because the mean of its divisors is an integer number (50861824).

Almost surely, 2^4087635696 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 4087635696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103418880).

4087635696 is an abundant number, since it is smaller than the sum of its proper divisors (8119202064).

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

4087635696 is a wasteful number, since it uses less digits than its factorization.

4087635696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4087635696 is about 63934.6204806128. The cubic root of 4087635696 is about 1598.9101557349.

The spelling of 4087635696 in words is "four billion, eighty-seven million, six hundred thirty-five thousand, six hundred ninety-six".