5346633600 has 576 divisors, whose sum is σ = 23795441280. Its totient is φ = 1110528000.

The previous prime is 5346633599. The next prime is 5346633601. The reversal of 5346633600 is 63366435.

It is a happy number.

5346633600 is a `hidden beast` number, since 5 + 3 + 46 + 6 + 3 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5346633599) and next prime (5346633601).

It is a tau number, because it is divible by the number of its divisors (576).

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 (5346633601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216395 + ... + 2218805.

It is an arithmetic number, because the mean of its divisors is an integer number (41311530).

Almost surely, 2^5346633600 is an apocalyptic number.

5346633600 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 5346633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897720640).

5346633600 is an abundant number, since it is smaller than the sum of its proper divisors (18448807680).

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

5346633600 is a wasteful number, since it uses less digits than its factorization.

5346633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 5346633600 is about 73120.6783338339. The cubic root of 5346633600 is about 1748.6120804888.

It can be divided in two parts, 53 and 46633600, that added together give a triangular number (46633653 = T₉₆₅₇).

The spelling of 5346633600 in words is "five billion, three hundred forty-six million, six hundred thirty-three thousand, six hundred".