4075025760 has 720 divisors, whose sum is σ = 16589721456. Its totient is φ = 936105984.

The previous prime is 4075025743. The next prime is 4075025791. The reversal of 4075025760 is 675205704.

4075025760 is a `hidden beast` number, since 40 + 7 + 502 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 60821247 + ... + 60821313.

Almost surely, 2^4075025760 is an apocalyptic number.

4075025760 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 4075025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294860728).

4075025760 is an abundant number, since it is smaller than the sum of its proper divisors (12514695696).

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

4075025760 is a wasteful number, since it uses less digits than its factorization.

4075025760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 4075025760 is about 63835.9284415916. The cubic root of 4075025760 is about 1597.2643043132.

The spelling of 4075025760 in words is "four billion, seventy-five million, twenty-five thousand, seven hundred sixty".