5349864960 has 720 divisors, whose sum is σ = 21649708080. Its totient is φ = 1216512000.

The previous prime is 5349864931. The next prime is 5349865007. The reversal of 5349864960 is 694689435.

5349864960 is a `hidden beast` number, since 5 + 3 + 498 + 64 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5349864897 and 5349864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52968910 + ... + 52969010.

It is an arithmetic number, because the mean of its divisors is an integer number (30069039).

Almost surely, 2^5349864960 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 5349864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824854040).

5349864960 is an abundant number, since it is smaller than the sum of its proper divisors (16299843120).

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

5349864960 is a wasteful number, since it uses less digits than its factorization.

5349864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 5349864960 is about 73142.7710713779. The cubic root of 5349864960 is about 1748.9642807467.

The spelling of 5349864960 in words is "five billion, three hundred forty-nine million, eight hundred sixty-four thousand, nine hundred sixty".