5646201120 has 768 divisors, whose sum is σ = 24617779200. Its totient is φ = 1179463680.

The previous prime is 5646201107. The next prime is 5646201137. The reversal of 5646201120 is 211026465.

5646201120 is a `hidden beast` number, since 5 + 6 + 4 + 620 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17811202 + ... + 17811518.

It is an arithmetic number, because the mean of its divisors is an integer number (32054400).

Almost surely, 2^5646201120 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 5646201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308889600).

5646201120 is an abundant number, since it is smaller than the sum of its proper divisors (18971578080).

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

5646201120 is a wasteful number, since it uses less digits than its factorization.

5646201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5646201120 is about 75141.2078689184. The cubic root of 5646201120 is about 1780.6782249029.

Adding to 5646201120 its reverse (211026465), we get a palindrome (5857227585).

The spelling of 5646201120 in words is "five billion, six hundred forty-six million, two hundred one thousand, one hundred twenty".