5179375440 has 320 divisors, whose sum is σ = 18467270400. Its totient is φ = 1333241856.

The previous prime is 5179375393. The next prime is 5179375447. The reversal of 5179375440 is 445739715.

5179375440 is a `hidden beast` number, since 5 + 1 + 79 + 37 + 544 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179375447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18301539 + ... + 18301821.

It is an arithmetic number, because the mean of its divisors is an integer number (57710220).

Almost surely, 2^5179375440 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 5179375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233635200).

5179375440 is an abundant number, since it is smaller than the sum of its proper divisors (13287894960).

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

5179375440 is a wasteful number, since it uses less digits than its factorization.

5179375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5179375440 is about 71967.8778344895. The cubic root of 5179375440 is about 1730.1846885366.

The spelling of 5179375440 in words is "five billion, one hundred seventy-nine million, three hundred seventy-five thousand, four hundred forty".