5335424640 has 1152 divisors, whose sum is σ = 24459926400. Its totient is φ = 1086898176.

The previous prime is 5335424629. The next prime is 5335424641. The reversal of 5335424640 is 464245335.

5335424640 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 5335424595 and 5335424604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335424641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183980146 + ... + 183980174.

It is an arithmetic number, because the mean of its divisors is an integer number (21232575).

Almost surely, 2^5335424640 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 5335424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229963200).

5335424640 is an abundant number, since it is smaller than the sum of its proper divisors (19124501760).

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

5335424640 is a wasteful number, since it uses less digits than its factorization.

5335424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5335424640 is about 73043.9911286343. The cubic root of 5335424640 is about 1747.3892652114.

Adding to 5335424640 its reverse (464245335), we get a palindrome (5799669975).

The spelling of 5335424640 in words is "five billion, three hundred thirty-five million, four hundred twenty-four thousand, six hundred forty".