5356338624 has 448 divisors, whose sum is σ = 20236769280. Its totient is φ = 1350328320.

The previous prime is 5356338613. The next prime is 5356338641. The reversal of 5356338624 is 4268336535.

5356338624 is a `hidden beast` number, since 5 + 3 + 5 + 633 + 8 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 5356338624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3615964 + ... + 3617444.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^5356338624 is an apocalyptic number.

5356338624 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 5356338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118384640).

5356338624 is an abundant number, since it is smaller than the sum of its proper divisors (14880430656).

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

5356338624 is a wasteful number, since it uses less digits than its factorization.

5356338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 5356338624 is about 73187.0113066519. The cubic root of 5356338624 is about 1749.6694476621.

The spelling of 5356338624 in words is "five billion, three hundred fifty-six million, three hundred thirty-eight thousand, six hundred twenty-four".