5340466560 has 512 divisors, whose sum is σ = 20431595520. Its totient is φ = 1169326080.

The previous prime is 5340466559. The next prime is 5340466561. The reversal of 5340466560 is 656640435.

It is an interprime number because it is at equal distance from previous prime (5340466559) and next prime (5340466561).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340466561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14551497 + ... + 14551863.

It is an arithmetic number, because the mean of its divisors is an integer number (39905460).

Almost surely, 2^5340466560 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 5340466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215797760).

5340466560 is an abundant number, since it is smaller than the sum of its proper divisors (15091128960).

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

5340466560 is a wasteful number, since it uses less digits than its factorization.

5340466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 5340466560 is about 73078.4958794309. The cubic root of 5340466560 is about 1747.9395133955.

The spelling of 5340466560 in words is "five billion, three hundred forty million, four hundred sixty-six thousand, five hundred sixty".