4450567680 has 600 divisors, whose sum is σ = 17396957952. Its totient is φ = 1086898176.

The previous prime is 4450567637. The next prime is 4450567687. The reversal of 4450567680 is 867650544.

4450567680 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 567 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450567687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043777 + ... + 35043903.

Almost surely, 2^4450567680 is an apocalyptic number.

4450567680 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 4450567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698478976).

4450567680 is an abundant number, since it is smaller than the sum of its proper divisors (12946390272).

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

4450567680 is a wasteful number, since it uses less digits than its factorization.

4450567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4450567680 is about 66712.5751264332. The cubic root of 4450567680 is about 1644.8960962695.

The spelling of 4450567680 in words is "four billion, four hundred fifty million, five hundred sixty-seven thousand, six hundred eighty".