4472165808 has 360 divisors, whose sum is σ = 14489739264. Its totient is φ = 1285320960.

The previous prime is 4472165807. The next prime is 4472165827. The reversal of 4472165808 is 8085612744.

4472165808 is a `hidden beast` number, since 4 + 47 + 21 + 6 + 580 + 8 = 666.

It is a super-3 number, since 3×4472165808³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472165807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35213841 + ... + 35213967.

Almost surely, 2^4472165808 is an apocalyptic number.

4472165808 is a gapful number since it is divisible by the number (48) 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 4472165808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244869632).

4472165808 is an abundant number, since it is smaller than the sum of its proper divisors (10017573456).

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

4472165808 is a wasteful number, since it uses less digits than its factorization.

4472165808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4472165808 is about 66874.2537005087. The cubic root of 4472165808 is about 1647.5526384137.

The spelling of 4472165808 in words is "four billion, four hundred seventy-two million, one hundred sixty-five thousand, eight hundred eight".