8216208000 has 2048 divisors, whose sum is σ = 42771456000. Its totient is φ = 1492992000.

The previous prime is 8216207947. The next prime is 8216208031. The reversal of 8216208000 is 8026128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432431991 + ... + 432432009.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^8216208000 is an apocalyptic number.

8216208000 is a gapful number since it is divisible by the number (80) 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 8216208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

8216208000 is an abundant number, since it is smaller than the sum of its proper divisors (34555248000).

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

8216208000 is a wasteful number, since it uses less digits than its factorization.

8216208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8216208000 is about 90643.3009107678. The cubic root of 8216208000 is about 2017.8574151535.

The spelling of 8216208000 in words is "eight billion, two hundred sixteen million, two hundred eight thousand".