5652633600 has 720 divisors, whose sum is σ = 22118896800. Its totient is φ = 1424424960.

The previous prime is 5652633599. The next prime is 5652633607. The reversal of 5652633600 is 63362565.

5652633600 is a `hidden beast` number, since 565 + 2 + 6 + 33 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652633607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120268777 + ... + 120268823.

It is an arithmetic number, because the mean of its divisors is an integer number (30720690).

Almost surely, 2^5652633600 is an apocalyptic number.

5652633600 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 5652633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059448400).

5652633600 is an abundant number, since it is smaller than the sum of its proper divisors (16466263200).

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

5652633600 is a wasteful number, since it uses less digits than its factorization.

5652633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 5652633600 is about 75183.9982975101. The cubic root of 5652633600 is about 1781.3541855958.

The spelling of 5652633600 in words is "five billion, six hundred fifty-two million, six hundred thirty-three thousand, six hundred".