5406864960 has 896 divisors, whose sum is σ = 22753198080. Its totient is φ = 1058144256.

The previous prime is 5406864949. The next prime is 5406865027. The reversal of 5406864960 is 694686045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102016294 + ... + 102016346.

Almost surely, 2^5406864960 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 5406864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376599040).

5406864960 is an abundant number, since it is smaller than the sum of its proper divisors (17346333120).

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

5406864960 is a wasteful number, since it uses less digits than its factorization.

5406864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 5406864960 is about 73531.3875838067. The cubic root of 5406864960 is about 1755.1537823540.

The spelling of 5406864960 in words is "five billion, four hundred six million, eight hundred sixty-four thousand, nine hundred sixty".