5617525968 has 240 divisors, whose sum is σ = 17556711120. Its totient is φ = 1668366336.

The previous prime is 5617525937. The next prime is 5617525981. The reversal of 5617525968 is 8695257165.

5617525968 is a `hidden beast` number, since 56 + 1 + 7 + 525 + 9 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1220244624 + 4397281344 = 34932^2 + 66312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3761830 + ... + 3763322.

It is an arithmetic number, because the mean of its divisors is an integer number (73152963).

Almost surely, 2^5617525968 is an apocalyptic number.

5617525968 is a gapful number since it is divisible by the number (58) 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 5617525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778355560).

5617525968 is an abundant number, since it is smaller than the sum of its proper divisors (11939185152).

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

5617525968 is a wasteful number, since it uses less digits than its factorization.

5617525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1597 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5617525968 is about 74950.1565575416. The cubic root of 5617525968 is about 1777.6586191360.

The spelling of 5617525968 in words is "five billion, six hundred seventeen million, five hundred twenty-five thousand, nine hundred sixty-eight".