5632782336000 has 1536 divisors, whose sum is σ = 21928094884800. Its totient is φ = 1426194432000.

The previous prime is 5632782335989. The next prime is 5632782336001. The reversal of 5632782336000 is 6332872365.

5632782336000 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 7 + 8 + 2 + 33 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632782336001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106278911974 + ... + 106278912026.

Almost surely, 2^{5632782336000} is an apocalyptic number.

5632782336000 is a gapful number since it is divisible by the number (50) 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 5632782336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964047442400).

5632782336000 is an abundant number, since it is smaller than the sum of its proper divisors (16295312548800).

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

5632782336000 is an frugal number, since it uses more digits than its factorization.

5632782336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 94 counting only the distinct ones).

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

The spelling of 5632782336000 in words is "five trillion, six hundred thirty-two billion, seven hundred eighty-two million, three hundred thirty-six thousand".