5257604664 has 96 divisors (see below), whose sum is σ = 15624161280. Its totient is φ = 1587186432.

The previous prime is 5257604659. The next prime is 5257604669. The reversal of 5257604664 is 4664067525.

5257604664 is a `hidden beast` number, since 525 + 7 + 60 + 4 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5257604659) and next prime (5257604669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257604669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384 + ... + 102599.

It is an arithmetic number, because the mean of its divisors is an integer number (162751680).

Almost surely, 2^5257604664 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 5257604664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812080640).

5257604664 is an abundant number, since it is smaller than the sum of its proper divisors (10366556616).

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

5257604664 is a wasteful number, since it uses less digits than its factorization.

5257604664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106061 (or 106054 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5257604664 is about 72509.3419084741. The cubic root of 5257604664 is about 1738.8520926547.

The spelling of 5257604664 in words is "five billion, two hundred fifty-seven million, six hundred four thousand, six hundred sixty-four".