5364273600 has 756 divisors, whose sum is σ = 22936458064. Its totient is φ = 1209323520.

The previous prime is 5364273589. The next prime is 5364273613. The reversal of 5364273600 is 63724635.

5364273600 is a `hidden beast` number, since 5 + 3 + 6 + 42 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73483164 + ... + 73483236.

Almost surely, 2^5364273600 is an apocalyptic number.

5364273600 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 5364273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468229032).

5364273600 is an abundant number, since it is smaller than the sum of its proper divisors (17572184464).

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

5364273600 is an frugal number, since it uses more digits than its factorization.

5364273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5364273600 is about 73241.2015193634. The cubic root of 5364273600 is about 1750.5330185880.

The spelling of 5364273600 in words is "five billion, three hundred sixty-four million, two hundred seventy-three thousand, six hundred".