8382217536 has 840 divisors, whose sum is σ = 33296047200. Its totient is φ = 1991485440.

The previous prime is 8382217511. The next prime is 8382217541. The reversal of 8382217536 is 6357122838.

8382217536 is a `hidden beast` number, since 8 + 382 + 217 + 53 + 6 = 666.

It is a super-2 number, since 2×8382217536² (a number of 21 digits) contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime factors (105).

It is a junction number, because it is equal to n+sod(n) for n = 8382217491 and 8382217500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 289041970 + ... + 289041998.

Almost surely, 2^8382217536 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 8382217536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648023600).

8382217536 is an abundant number, since it is smaller than the sum of its proper divisors (24913829664).

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

8382217536 is a wasteful number, since it uses less digits than its factorization.

8382217536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 8382217536 is about 91554.4512080106. The cubic root of 8382217536 is about 2031.3572532609.

The spelling of 8382217536 in words is "eight billion, three hundred eighty-two million, two hundred seventeen thousand, five hundred thirty-six".