5313968640 has 480 divisors, whose sum is σ = 19788912000. Its totient is φ = 1313832960.

The previous prime is 5313968591. The next prime is 5313968711. The reversal of 5313968640 is 468693135.

5313968640 is a `hidden beast` number, since 531 + 39 + 6 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26703261 + ... + 26703459.

It is an arithmetic number, because the mean of its divisors is an integer number (41226900).

Almost surely, 2^5313968640 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 5313968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894456000).

5313968640 is an abundant number, since it is smaller than the sum of its proper divisors (14474943360).

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

5313968640 is a wasteful number, since it uses less digits than its factorization.

5313968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5313968640 is about 72896.9727766524. The cubic root of 5313968640 is about 1745.0437878137.

The spelling of 5313968640 in words is "five billion, three hundred thirteen million, nine hundred sixty-eight thousand, six hundred forty".