5376085344 has 288 divisors, whose sum is σ = 18235526400. Its totient is φ = 1526211072.

The previous prime is 5376085339. The next prime is 5376085357. The reversal of 5376085344 is 4435806735.

5376085344 is a `hidden beast` number, since 5 + 3 + 7 + 608 + 5 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5376085344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15404082 + ... + 15404430.

It is an arithmetic number, because the mean of its divisors is an integer number (63317800).

Almost surely, 2^5376085344 is an apocalyptic number.

5376085344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5376085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117763200).

5376085344 is an abundant number, since it is smaller than the sum of its proper divisors (12859441056).

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

5376085344 is a wasteful number, since it uses less digits than its factorization.

5376085344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5376085344 is about 73321.7931040970. The cubic root of 5376085344 is about 1751.8169258883.

The spelling of 5376085344 in words is "five billion, three hundred seventy-six million, eighty-five thousand, three hundred forty-four".