4087776000 has 864 divisors, whose sum is σ = 17448238080. Its totient is φ = 838656000.

The previous prime is 4087775959. The next prime is 4087776029. The reversal of 4087776000 is 6777804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4087776000.

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 95 ways as a sum of consecutive naturals, for example, 51743961 + ... + 51744039.

It is an arithmetic number, because the mean of its divisors is an integer number (20194720).

Almost surely, 2^4087776000 is an apocalyptic number.

4087776000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724119040).

4087776000 is an abundant number, since it is smaller than the sum of its proper divisors (13360462080).

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

4087776000 is a wasteful number, since it uses less digits than its factorization.

4087776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 4087776000 is about 63935.7177170946. The cubic root of 4087776000 is about 1598.9284491887.

It can be divided in two parts, 4087 and 776000, that added together give a palindrome (780087).

The spelling of 4087776000 in words is "four billion, eighty-seven million, seven hundred seventy-six thousand".