4365648000 has 768 divisors, whose sum is σ = 18468103680. Its totient is φ = 967680000.

The previous prime is 4365647977. The next prime is 4365648011. The reversal of 4365648000 is 8465634.

4365648000 is a `hidden beast` number, since 4 + 3 + 6 + 5 + 648 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×4365648000³ (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, 61487965 + ... + 61488035.

It is an arithmetic number, because the mean of its divisors is an integer number (24047010).

Almost surely, 2^4365648000 is an apocalyptic number.

4365648000 is a gapful number since it is divisible by the number (40) 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 4365648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234051840).

4365648000 is an abundant number, since it is smaller than the sum of its proper divisors (14102455680).

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

4365648000 is a wasteful number, since it uses less digits than its factorization.

4365648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4365648000 is about 66073.0504820233. The cubic root of 4365648000 is about 1634.3669518497.

The spelling of 4365648000 in words is "four billion, three hundred sixty-five million, six hundred forty-eight thousand".