5336401824 has 480 divisors, whose sum is σ = 18031749120. Its totient is φ = 1536288768.

The previous prime is 5336401789. The next prime is 5336401841. The reversal of 5336401824 is 4281046335.

5336401824 is a `hidden beast` number, since 5 + 3 + 3 + 640 + 1 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42018849 + ... + 42018975.

It is an arithmetic number, because the mean of its divisors is an integer number (37566144).

Almost surely, 2^5336401824 is an apocalyptic number.

5336401824 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 5336401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015874560).

5336401824 is an abundant number, since it is smaller than the sum of its proper divisors (12695347296).

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

5336401824 is a wasteful number, since it uses less digits than its factorization.

5336401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5336401824 is about 73050.6798325656. The cubic root of 5336401824 is about 1747.4959369207.

The spelling of 5336401824 in words is "five billion, three hundred thirty-six million, four hundred one thousand, eight hundred twenty-four".