4096987776 has 384 divisors, whose sum is σ = 14447247360. Its totient is φ = 1130941440.

The previous prime is 4096987753. The next prime is 4096987813. The reversal of 4096987776 is 6777896904.

4096987776 is a `hidden beast` number, since 409 + 6 + 98 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6749265 + ... + 6749871.

It is an arithmetic number, because the mean of its divisors is an integer number (37623040).

Almost surely, 2^4096987776 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 4096987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223623680).

4096987776 is an abundant number, since it is smaller than the sum of its proper divisors (10350259584).

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

4096987776 is an equidigital number, since it uses as much as digits as its factorization.

4096987776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The square root of 4096987776 is about 64007.7165348054. The cubic root of 4096987776 is about 1600.1286063291.

The spelling of 4096987776 in words is "four billion, ninety-six million, nine hundred eighty-seven thousand, seven hundred seventy-six".