5335672320 has 480 divisors, whose sum is σ = 20740056480. Its totient is φ = 1256325120.

The previous prime is 5335672261. The next prime is 5335672337. The reversal of 5335672320 is 232765335.

5335672320 is a `hidden beast` number, since 53 + 3 + 567 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5335672320³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9376996 + ... + 9377564.

It is an arithmetic number, because the mean of its divisors is an integer number (43208451).

Almost surely, 2^5335672320 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 5335672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370028240).

5335672320 is an abundant number, since it is smaller than the sum of its proper divisors (15404384160).

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

5335672320 is a wasteful number, since it uses less digits than its factorization.

5335672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 5335672320 is about 73045.6865256259. The cubic root of 5335672320 is about 1747.4163037763.

The spelling of 5335672320 in words is "five billion, three hundred thirty-five million, six hundred seventy-two thousand, three hundred twenty".