5509679440 has 160 divisors (see below), whose sum is σ = 13859112960. Its totient is φ = 2031794688.

The previous prime is 5509679431. The next prime is 5509679473. The reversal of 5509679440 is 449769055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6566541 + ... + 6567379.

It is an arithmetic number, because the mean of its divisors is an integer number (86619456).

Almost surely, 2^5509679440 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 5509679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

5509679440 is an abundant number, since it is smaller than the sum of its proper divisors (8349433520).

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

5509679440 is a wasteful number, since it uses less digits than its factorization.

5509679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The square root of 5509679440 is about 74227.2149551632. The cubic root of 5509679440 is about 1766.2090697289.

The spelling of 5509679440 in words is "five billion, five hundred nine million, six hundred seventy-nine thousand, four hundred forty".