5364609120 has 288 divisors, whose sum is σ = 20090633472. Its totient is φ = 1295364096.

The previous prime is 5364609113. The next prime is 5364609127. The reversal of 5364609120 is 219064635.

It is a happy number.

5364609120 is a `hidden beast` number, since 5 + 3 + 646 + 0 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5364609113) and next prime (5364609127).

It is a tau number, because it is divible by the number of its divisors (288).

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 (5364609127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989457 + ... + 994863.

It is an arithmetic number, because the mean of its divisors is an integer number (69759144).

Almost surely, 2^5364609120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5364609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045316736).

5364609120 is an abundant number, since it is smaller than the sum of its proper divisors (14726024352).

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

5364609120 is a wasteful number, since it uses less digits than its factorization.

5364609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5364609120 is about 73243.4919975830. The cubic root of 5364609120 is about 1750.5695147748.

The spelling of 5364609120 in words is "five billion, three hundred sixty-four million, six hundred nine thousand, one hundred twenty".