5933946240 has 384 divisors, whose sum is σ = 21958560000. Its totient is φ = 1472090112.

The previous prime is 5933946233. The next prime is 5933946257. The reversal of 5933946240 is 426493395.

5933946240 is a `hidden beast` number, since 593 + 39 + 4 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×5933946240³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6456501 + ... + 6457419.

It is an arithmetic number, because the mean of its divisors is an integer number (57183750).

Almost surely, 2^5933946240 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 5933946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979280000).

5933946240 is an abundant number, since it is smaller than the sum of its proper divisors (16024613760).

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

5933946240 is a wasteful number, since it uses less digits than its factorization.

5933946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 5933946240 is about 77032.1117456869. Note that the first 3 decimals coincide. The cubic root of 5933946240 is about 1810.4277694315.

The spelling of 5933946240 in words is "five billion, nine hundred thirty-three million, nine hundred forty-six thousand, two hundred forty".