5652763200 has 1008 divisors, whose sum is σ = 24946847744. Its totient is φ = 1231718400.

The previous prime is 5652763159. The next prime is 5652763243. The reversal of 5652763200 is 23672565.

It is a happy number.

5652763200 is a `hidden beast` number, since 5 + 65 + 276 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×5652763200³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84369567 + ... + 84369633.

Almost surely, 2^5652763200 is an apocalyptic number.

5652763200 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 5652763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473423872).

5652763200 is an abundant number, since it is smaller than the sum of its proper divisors (19294084544).

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

5652763200 is a wasteful number, since it uses less digits than its factorization.

5652763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5652763200 is about 75184.8601780970. The cubic root of 5652763200 is about 1781.3677994116.

The spelling of 5652763200 in words is "five billion, six hundred fifty-two million, seven hundred sixty-three thousand, two hundred".