4069375200 has 648 divisors, whose sum is σ = 16451462664. Its totient is φ = 980812800.

The previous prime is 4069375157. The next prime is 4069375229. The reversal of 4069375200 is 25739604.

4069375200 is a `hidden beast` number, since 40 + 6 + 93 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 23522314 + ... + 23522486.

Almost surely, 2^4069375200 is an apocalyptic number.

4069375200 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 4069375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225731332).

4069375200 is an abundant number, since it is smaller than the sum of its proper divisors (12382087464).

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

4069375200 is a wasteful number, since it uses less digits than its factorization.

4069375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4069375200 is about 63791.6546266046. The cubic root of 4069375200 is about 1596.5256903601.

The spelling of 4069375200 in words is "four billion, sixty-nine million, three hundred seventy-five thousand, two hundred".