4057633760 has 24 divisors (see below), whose sum is σ = 9586160136. Its totient is φ = 1623053440.

The previous prime is 4057633747. The next prime is 4057633771. The reversal of 4057633760 is 673367504.

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 3 ways as a sum of consecutive naturals, for example, 12679946 + ... + 12680265.

It is an arithmetic number, because the mean of its divisors is an integer number (399423339).

Almost surely, 2^4057633760 is an apocalyptic number.

4057633760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057633760 is an abundant number, since it is smaller than the sum of its proper divisors (5528526376).

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

4057633760 is a wasteful number, since it uses less digits than its factorization.

4057633760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25360226 (or 25360218 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The square root of 4057633760 is about 63699.5585542004. The cubic root of 4057633760 is about 1594.9887166191.

The spelling of 4057633760 in words is "four billion, fifty-seven million, six hundred thirty-three thousand, seven hundred sixty".