5661564480 has 672 divisors, whose sum is σ = 23365480320. Its totient is φ = 1240104960.

The previous prime is 5661564479. The next prime is 5661564487. The reversal of 5661564480 is 844651665.

5661564480 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 564 + 4 + 80 = 666.

It is a super-2 number, since 2×5661564480² = 64106624722395340800, which contains 22 as substring.

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 (5661564487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24298444 + ... + 24298676.

It is an arithmetic number, because the mean of its divisors is an integer number (34770060).

Almost surely, 2^5661564480 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 5661564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682740160).

5661564480 is an abundant number, since it is smaller than the sum of its proper divisors (17703915840).

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

5661564480 is a wasteful number, since it uses less digits than its factorization.

5661564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5661564480 is about 75243.3683456556. The cubic root of 5661564480 is about 1782.2918422961.

The spelling of 5661564480 in words is "five billion, six hundred sixty-one million, five hundred sixty-four thousand, four hundred eighty".