5334693840 has 960 divisors, whose sum is σ = 23816332800. Its totient is φ = 1040449536.

The previous prime is 5334693839. The next prime is 5334693877. The reversal of 5334693840 is 483964335.

5334693840 is a `hidden beast` number, since 533 + 46 + 9 + 38 + 40 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47209624 + ... + 47209736.

It is an arithmetic number, because the mean of its divisors is an integer number (24808680).

Almost surely, 2^5334693840 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 5334693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908166400).

5334693840 is an abundant number, since it is smaller than the sum of its proper divisors (18481638960).

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

5334693840 is a wasteful number, since it uses less digits than its factorization.

5334693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5334693840 is about 73038.9884924483. The cubic root of 5334693840 is about 1747.3094808475.

The spelling of 5334693840 in words is "five billion, three hundred thirty-four million, six hundred ninety-three thousand, eight hundred forty".