5836380480 has 560 divisors, whose sum is σ = 24990430080. Its totient is φ = 1263071232.

The previous prime is 5836380469. The next prime is 5836380491. The reversal of 5836380480 is 840836385.

5836380480 is a `hidden beast` number, since 5 + 8 + 3 + 638 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5836380469) and next prime (5836380491).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3446514 + ... + 3448206.

It is an arithmetic number, because the mean of its divisors is an integer number (44625768).

Almost surely, 2^5836380480 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 5836380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495215040).

5836380480 is an abundant number, since it is smaller than the sum of its proper divisors (19154049600).

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

5836380480 is a wasteful number, since it uses less digits than its factorization.

5836380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5836380480 is about 76396.2072356999. The cubic root of 5836380480 is about 1800.4505538801.

The spelling of 5836380480 in words is "five billion, eight hundred thirty-six million, three hundred eighty thousand, four hundred eighty".