5632764230016 has 2240 divisors, whose sum is σ = 22982169984000. Its totient is φ = 1341341337600.

The previous prime is 5632764229987. The next prime is 5632764230017. The reversal of 5632764230016 is 6100324672365.

5632764230016 is a `hidden beast` number, since 5 + 6 + 327 + 6 + 4 + 2 + 300 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632764230017) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 181702071921 + ... + 181702071951.

Almost surely, 2^{5632764230016} is an apocalyptic number.

5632764230016 is a gapful number since it is divisible by the number (56) 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 5632764230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491084992000).

5632764230016 is an abundant number, since it is smaller than the sum of its proper divisors (17349405753984).

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

5632764230016 is an frugal number, since it uses more digits than its factorization.

5632764230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 5632764230016 in words is "five trillion, six hundred thirty-two billion, seven hundred sixty-four million, two hundred thirty thousand, sixteen".