5536456320 has 256 divisors, whose sum is σ = 18432852480. Its totient is φ = 1412136960.

The previous prime is 5536456259. The next prime is 5536456391. The reversal of 5536456320 is 236546355.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171497 + ... + 4172823.

It is an arithmetic number, because the mean of its divisors is an integer number (72003330).

Almost surely, 2^5536456320 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 5536456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216426240).

5536456320 is an abundant number, since it is smaller than the sum of its proper divisors (12896396160).

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

5536456320 is a wasteful number, since it uses less digits than its factorization.

5536456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The square root of 5536456320 is about 74407.3673771623. The cubic root of 5536456320 is about 1769.0656883946.

The spelling of 5536456320 in words is "five billion, five hundred thirty-six million, four hundred fifty-six thousand, three hundred twenty".