5565672000 has 672 divisors, whose sum is σ = 23653943040. Its totient is φ = 1269043200.

The previous prime is 5565671971. The next prime is 5565672011. The reversal of 5565672000 is 2765655.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5565672000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607796 + ... + 13608204.

It is an arithmetic number, because the mean of its divisors is an integer number (35199320).

Almost surely, 2^5565672000 is an apocalyptic number.

5565672000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5565672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826971520).

5565672000 is an abundant number, since it is smaller than the sum of its proper divisors (18088271040).

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

5565672000 is an equidigital number, since it uses as much as digits as its factorization.

5565672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5565672000 is about 74603.4315564639. The cubic root of 5565672000 is about 1772.1719960711.

The spelling of 5565672000 in words is "five billion, five hundred sixty-five million, six hundred seventy-two thousand".