5406318720 has 288 divisors, whose sum is σ = 20522780460. Its totient is φ = 1310453760.

The previous prime is 5406318703. The next prime is 5406318737. The reversal of 5406318720 is 278136045.

5406318720 is a `hidden beast` number, since 540 + 6 + 31 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5406318703) and next prime (5406318737).

It can be written as a sum of positive squares in 2 ways, for example, as 5347704384 + 58614336 = 73128^2 + 7656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693082 + ... + 700838.

Almost surely, 2^5406318720 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 5406318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261390230).

5406318720 is an abundant number, since it is smaller than the sum of its proper divisors (15116461740).

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

5406318720 is a wasteful number, since it uses less digits than its factorization.

5406318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5406318720 is about 73527.6731577982. The cubic root of 5406318720 is about 1755.0946743190.

The spelling of 5406318720 in words is "five billion, four hundred six million, three hundred eighteen thousand, seven hundred twenty".