5171679744 has 320 divisors, whose sum is σ = 17441740800. Its totient is φ = 1322680320.

The previous prime is 5171679713. The next prime is 5171679761. The reversal of 5171679744 is 4479761715.

It is a super-3 number, since 3×5171679744³ (a number of 30 digits) contains 333 as substring.

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, 8633557 + ... + 8634155.

It is an arithmetic number, because the mean of its divisors is an integer number (54505440).

Almost surely, 2^5171679744 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 5171679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720870400).

5171679744 is an abundant number, since it is smaller than the sum of its proper divisors (12270061056).

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

5171679744 is a wasteful number, since it uses less digits than its factorization.

5171679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 5171679744 is about 71914.3917724401. The cubic root of 5171679744 is about 1729.3273409273.

The spelling of 5171679744 in words is "five billion, one hundred seventy-one million, six hundred seventy-nine thousand, seven hundred forty-four".