4481779680 has 192 divisors, whose sum is σ = 17927239680. Its totient is φ = 1024399872.

The previous prime is 4481779669. The next prime is 4481779681. The reversal of 4481779680 is 869771844.

It is a happy number.

4481779680 is a `hidden beast` number, since 4 + 481 + 77 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481779681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43864 + ... + 104343.

It is an arithmetic number, because the mean of its divisors is an integer number (93371040).

Almost surely, 2^4481779680 is an apocalyptic number.

4481779680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4481779680 is an abundant number, since it is smaller than the sum of its proper divisors (13445460000).

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

4481779680 is a wasteful number, since it uses less digits than its factorization.

4481779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148238 (or 148224 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4481779680 is about 66946.0953304971. The cubic root of 4481779680 is about 1648.7323817692.

The spelling of 4481779680 in words is "four billion, four hundred eighty-one million, seven hundred seventy-nine thousand, six hundred eighty".