5661653760 has 720 divisors, whose sum is σ = 24039892800. Its totient is φ = 1244823552.

The previous prime is 5661653759. The next prime is 5661653779. The reversal of 5661653760 is 673561665.

5661653760 is a `hidden beast` number, since 56 + 6 + 1 + 6 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046906 + ... + 21047174.

It is an arithmetic number, because the mean of its divisors is an integer number (33388740).

Almost surely, 2^5661653760 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 5661653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019946400).

5661653760 is an abundant number, since it is smaller than the sum of its proper divisors (18378239040).

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

5661653760 is a wasteful number, since it uses less digits than its factorization.

5661653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5661653760 is about 75243.9616181923. The cubic root of 5661653760 is about 1782.3012108596.

The spelling of 5661653760 in words is "five billion, six hundred sixty-one million, six hundred fifty-three thousand, seven hundred sixty".