4082863680 has 672 divisors, whose sum is σ = 17041489920. Its totient is φ = 877547520.

The previous prime is 4082863619. The next prime is 4082863721. The reversal of 4082863680 is 863682804.

It is a happy number.

4082863680 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 8 + 636 + 8 + 0 = 666.

4082863680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29373051 + ... + 29373189.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^4082863680 is an apocalyptic number.

4082863680 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 4082863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

4082863680 is an abundant number, since it is smaller than the sum of its proper divisors (12958626240).

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

4082863680 is a wasteful number, since it uses less digits than its factorization.

4082863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4082863680 is about 63897.2900833830. The cubic root of 4082863680 is about 1598.2877098594.

The spelling of 4082863680 in words is "four billion, eighty-two million, eight hundred sixty-three thousand, six hundred eighty".