5436616320 has 640 divisors, whose sum is σ = 21326976000. Its totient is φ = 1313832960.

The previous prime is 5436616313. The next prime is 5436616343. The reversal of 5436616320 is 236166345.

5436616320 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27319581 + ... + 27319779.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^5436616320 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 5436616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663488000).

5436616320 is an abundant number, since it is smaller than the sum of its proper divisors (15890359680).

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

5436616320 is a wasteful number, since it uses less digits than its factorization.

5436616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5436616320 is about 73733.4138637294. The cubic root of 5436616320 is about 1758.3671494935.

The spelling of 5436616320 in words is "five billion, four hundred thirty-six million, six hundred sixteen thousand, three hundred twenty".