5406336000 has 792 divisors, whose sum is σ = 22143119544. Its totient is φ = 1260748800.

The previous prime is 5406335983. The next prime is 5406336011. The reversal of 5406336000 is 6336045.

5406336000 is a `hidden beast` number, since 54 + 0 + 6 + 3 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 851705856 + 4554630144 = 29184^2 + 67488^2 .

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, 284543991 + ... + 284544009.

Almost surely, 2^5406336000 is an apocalyptic number.

5406336000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071559772).

5406336000 is an abundant number, since it is smaller than the sum of its proper divisors (16736783544).

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

5406336000 is a wasteful number, since it uses less digits than its factorization.

5406336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5406336000 is about 73527.7906644828. The cubic root of 5406336000 is about 1755.0965442299.

The spelling of 5406336000 in words is "five billion, four hundred six million, three hundred thirty-six thousand".