4167785505 has 32 divisors (see below), whose sum is σ = 7356585600. Its totient is φ = 2001784320.

The previous prime is 4167785497. The next prime is 4167785509. The reversal of 4167785505 is 5055877614.

4167785505 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4167785505 - 2³ = 4167785497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4167785509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252655 + ... + 268644.

It is an arithmetic number, because the mean of its divisors is an integer number (229893300).

Almost surely, 2^4167785505 is an apocalyptic number.

It is an amenable number.

4167785505 is a deficient number, since it is larger than the sum of its proper divisors (3188800095).

4167785505 is a wasteful number, since it uses less digits than its factorization.

4167785505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521361.

The product of its (nonzero) digits is 1176000, while the sum is 48.

The square root of 4167785505 is about 64558.3883395489. The cubic root of 4167785505 is about 1609.2929916574.

It can be divided in two parts, 41 and 67785505, that added together give a triangular number (67785546 = T₁₁₆₄₃).

The spelling of 4167785505 in words is "four billion, one hundred sixty-seven million, seven hundred eighty-five thousand, five hundred five".