5319872640 has 384 divisors, whose sum is σ = 19336262400. Its totient is φ = 1397440512.

The previous prime is 5319872629. The next prime is 5319872641. The reversal of 5319872640 is 462789135.

5319872640 is a `hidden beast` number, since 531 + 9 + 8 + 72 + 6 + 40 = 666.

5319872640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

5319872640 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5319872641) by changing a digit.

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, 12285864 + ... + 12286296.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5319872640 = 10639745280, but 3⋅5319872640 = 15959617920 is not.

Almost surely, 2^5319872640 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 5319872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668131200).

5319872640 is an abundant number, since it is smaller than the sum of its proper divisors (14016389760).

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

5319872640 is an equidigital number, since it uses as much as digits as its factorization.

5319872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5319872640 is about 72937.4570436891. The cubic root of 5319872640 is about 1745.6898162976.

The spelling of 5319872640 in words is "five billion, three hundred nineteen million, eight hundred seventy-two thousand, six hundred forty".