5346532800 has 1008 divisors, whose sum is σ = 23584204800. Its totient is φ = 1122508800.

The previous prime is 5346532747. The next prime is 5346532811. The reversal of 5346532800 is 82356435.

It is a happy number.

5346532800 is a `hidden beast` number, since 5 + 3 + 46 + 532 + 80 + 0 = 666.

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

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90619171 + ... + 90619229.

Almost surely, 2^5346532800 is an apocalyptic number.

5346532800 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 5346532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792102400).

5346532800 is an abundant number, since it is smaller than the sum of its proper divisors (18237672000).

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

5346532800 is a wasteful number, since it uses less digits than its factorization.

5346532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5346532800 is about 73119.9890590801. The cubic root of 5346532800 is about 1748.6010915676.

The spelling of 5346532800 in words is "five billion, three hundred forty-six million, five hundred thirty-two thousand, eight hundred".