5632169760 has 600 divisors, whose sum is σ = 23316409116. Its totient is φ = 1280240640.

The previous prime is 5632169737. The next prime is 5632169771. The reversal of 5632169760 is 679612365.

5632169760 is a `hidden beast` number, since 5 + 632 + 1 + 6 + 9 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4732889616 + 899280144 = 68796^2 + 29988^2 .

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 99 ways as a sum of consecutive naturals, for example, 31116870 + ... + 31117050.

Almost surely, 2^5632169760 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 5632169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658204558).

5632169760 is an abundant number, since it is smaller than the sum of its proper divisors (17684239356).

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

5632169760 is an equidigital number, since it uses as much as digits as its factorization.

5632169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5632169760 is about 75047.7831784524. The cubic root of 5632169760 is about 1779.2019483582.

The spelling of 5632169760 in words is "five billion, six hundred thirty-two million, one hundred sixty-nine thousand, seven hundred sixty".