4375425600 has 1260 divisors, whose sum is σ = 20528037684. Its totient is φ = 905748480.

The previous prime is 4375425559. The next prime is 4375425611. The reversal of 4375425600 is 65245734.

4375425600 is a `hidden beast` number, since 4 + 3 + 7 + 5 + 42 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 213627456 + 4161798144 = 14616^2 + 64512^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×4375425600² = 38288698362270720000, which contains 22 as substring.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 82555174 + ... + 82555226.

Almost surely, 2^4375425600 is an apocalyptic number.

4375425600 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 4375425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264018842).

4375425600 is an abundant number, since it is smaller than the sum of its proper divisors (16152612084).

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

4375425600 is a wasteful number, since it uses less digits than its factorization.

4375425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4375425600 is about 66146.9999319697. Note that the first 4 decimals coincide. The cubic root of 4375425600 is about 1635.5861882631.

The spelling of 4375425600 in words is "four billion, three hundred seventy-five million, four hundred twenty-five thousand, six hundred".