5617649160 has 256 divisors, whose sum is σ = 19613664000. Its totient is φ = 1428295680.

The previous prime is 5617649137. The next prime is 5617649161. The reversal of 5617649160 is 619467165.

5617649160 is a `hidden beast` number, since 561 + 76 + 4 + 9 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5617649161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2598480 + ... + 2600640.

It is an arithmetic number, because the mean of its divisors is an integer number (76615875).

Almost surely, 2^5617649160 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 5617649160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806832000).

5617649160 is an abundant number, since it is smaller than the sum of its proper divisors (13996014840).

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

5617649160 is a wasteful number, since it uses less digits than its factorization.

5617649160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5617649160 is about 74950.9783792046. The cubic root of 5617649160 is about 1777.6716136892.

The spelling of 5617649160 in words is "five billion, six hundred seventeen million, six hundred forty-nine thousand, one hundred sixty".