5406403968 has 512 divisors, whose sum is σ = 19270656000. Its totient is φ = 1478062080.

The previous prime is 5406403949. The next prime is 5406404009. The reversal of 5406403968 is 8693046045.

5406403968 is a `hidden beast` number, since 540 + 6 + 40 + 3 + 9 + 68 = 666.

It is a super-2 number, since 2×5406403968² = 58458407730412290048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60746068 + ... + 60746156.

It is an arithmetic number, because the mean of its divisors is an integer number (37638000).

Almost surely, 2^5406403968 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 5406403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635328000).

5406403968 is an abundant number, since it is smaller than the sum of its proper divisors (13864252032).

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

5406403968 is an frugal number, since it uses more digits than its factorization.

5406403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5406403968 is about 73528.2528556201. The cubic root of 5406403968 is about 1755.1038991743.

The spelling of 5406403968 in words is "five billion, four hundred six million, four hundred three thousand, nine hundred sixty-eight".