5332706064 has 640 divisors, whose sum is σ = 19820160000. Its totient is φ = 1365590016.

The previous prime is 5332706059. The next prime is 5332706069. The reversal of 5332706064 is 4606072335.

5332706064 is a `hidden beast` number, since 533 + 2 + 7 + 0 + 60 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5332706059) and next prime (5332706069).

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

It is not an unprimeable number, because it can be changed into a prime (5332706069) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73050732 + ... + 73050804.

It is an arithmetic number, because the mean of its divisors is an integer number (30969000).

Almost surely, 2^5332706064 is an apocalyptic number.

5332706064 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 5332706064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9910080000).

5332706064 is an abundant number, since it is smaller than the sum of its proper divisors (14487453936).

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

5332706064 is a wasteful number, since it uses less digits than its factorization.

5332706064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5332706064 is about 73025.3795881952. The cubic root of 5332706064 is about 1747.0924305076.

Adding to 5332706064 its reverse (4606072335), we get a palindrome (9938778399).

The spelling of 5332706064 in words is "five billion, three hundred thirty-two million, seven hundred six thousand, sixty-four".