5408671680 has 336 divisors, whose sum is σ = 19875398400. Its totient is φ = 1347010560.

The previous prime is 5408671643. The next prime is 5408671733. The reversal of 5408671680 is 861768045.

It is a happy number.

It is a super-3 number, since 3×5408671680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2588076 + ... + 2590164.

Almost surely, 2^5408671680 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 5408671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937699200).

5408671680 is an abundant number, since it is smaller than the sum of its proper divisors (14466726720).

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

5408671680 is a wasteful number, since it uses less digits than its factorization.

5408671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5408671680 is about 73543.6719235585. The cubic root of 5408671680 is about 1755.3492572008.

The spelling of 5408671680 in words is "five billion, four hundred eight million, six hundred seventy-one thousand, six hundred eighty".