320632267536 has 525 divisors, whose sum is σ = 1096831912631. Its totient is φ = 90753058368.

The previous prime is 320632267531. The next prime is 320632267547. The reversal of 320632267536 is 635762236023.

The square root of 320632267536 is 566244.

It is a perfect power (a square), and thus also a powerful number.

320632267536 is a `hidden beast` number, since 3 + 2 + 0 + 632 + 2 + 6 + 7 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×320632267536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320632267491 and 320632267500.

It is not an unprimeable number, because it can be changed into a prime (320632267531) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2996563195 + ... + 2996563301.

Almost surely, 2^320632267536 is an apocalyptic number.

320632267536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320632267536 is the 566244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320632267536

320632267536 is an abundant number, since it is smaller than the sum of its proper divisors (776199645095).

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

320632267536 is an frugal number, since it uses more digits than its factorization.

320632267536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 320632267536 in words is "three hundred twenty billion, six hundred thirty-two million, two hundred sixty-seven thousand, five hundred thirty-six".