5649361200 has 1080 divisors, whose sum is σ = 25588862208. Its totient is φ = 1170132480.

The previous prime is 5649361163. The next prime is 5649361217. The reversal of 5649361200 is 21639465.

It is a happy number.

5649361200 is a `hidden beast` number, since 5 + 649 + 3 + 6 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 245624389 + ... + 245624411.

Almost surely, 2^5649361200 is an apocalyptic number.

5649361200 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 5649361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794431104).

5649361200 is an abundant number, since it is smaller than the sum of its proper divisors (19939501008).

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

5649361200 is a wasteful number, since it uses less digits than its factorization.

5649361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5649361200 is about 75162.2325373588. The cubic root of 5649361200 is about 1781.0103677636.

The spelling of 5649361200 in words is "five billion, six hundred forty-nine million, three hundred sixty-one thousand, two hundred".