4257906576 has 160 divisors (see below), whose sum is σ = 13756262400. Its totient is φ = 1102525440.

The previous prime is 4257906563. The next prime is 4257906577. The reversal of 4257906576 is 6756097524.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4257906577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325260 + ... + 1328468.

It is an arithmetic number, because the mean of its divisors is an integer number (85976640).

Almost surely, 2^4257906576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257906576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878131200).

4257906576 is an abundant number, since it is smaller than the sum of its proper divisors (9498355824).

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

4257906576 is a wasteful number, since it uses less digits than its factorization.

4257906576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The square root of 4257906576 is about 65252.6365444340. The cubic root of 4257906576 is about 1620.8097582592.

The spelling of 4257906576 in words is "four billion, two hundred fifty-seven million, nine hundred six thousand, five hundred seventy-six".