5617661472 has 96 divisors (see below), whose sum is σ = 16510253760. Its totient is φ = 1858222080.

The previous prime is 5617661443. The next prime is 5617661479. The reversal of 5617661472 is 2741667165.

5617661472 is a `hidden beast` number, since 5 + 6 + 176 + 6 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5617661479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88368 + ... + 138000.

It is an arithmetic number, because the mean of its divisors is an integer number (171981810).

Almost surely, 2^5617661472 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 5617661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255126880).

5617661472 is an abundant number, since it is smaller than the sum of its proper divisors (10892592288).

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

5617661472 is a wasteful number, since it uses less digits than its factorization.

5617661472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49783 (or 49769 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 5617661472 is about 74951.0605128440. The cubic root of 5617661472 is about 1777.6729123746.

The spelling of 5617661472 in words is "five billion, six hundred seventeen million, six hundred sixty-one thousand, four hundred seventy-two".