4076776704 has 288 divisors, whose sum is σ = 14570809344. Its totient is φ = 977264640.

The previous prime is 4076776679. The next prime is 4076776709.

4076776704 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076776709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766117 + ... + 771419.

It is an arithmetic number, because the mean of its divisors is an integer number (50593088).

Almost surely, 2^4076776704 is an apocalyptic number.

4076776704 is a gapful number since it is divisible by the number (44) 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 4076776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285404672).

4076776704 is an abundant number, since it is smaller than the sum of its proper divisors (10494032640).

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

4076776704 is a wasteful number, since it uses less digits than its factorization.

4076776704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 4076776704 is about 63849.6413772231. The cubic root of 4076776704 is about 1597.4930406901.

The spelling of 4076776704 in words is "four billion, seventy-six million, seven hundred seventy-six thousand, seven hundred four".