8216295360 has 448 divisors, whose sum is σ = 32359713792. Its totient is φ = 1719926784.

The previous prime is 8216295331. The next prime is 8216295371. The reversal of 8216295360 is 635926128.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 14239392 + ... + 14239968.

It is an arithmetic number, because the mean of its divisors is an integer number (72231504).

Almost surely, 2^8216295360 is an apocalyptic number.

8216295360 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 8216295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179856896).

8216295360 is an abundant number, since it is smaller than the sum of its proper divisors (24143418432).

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

8216295360 is a wasteful number, since it uses less digits than its factorization.

8216295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 8216295360 is about 90643.7827983806. The cubic root of 8216295360 is about 2017.8645668468.

The spelling of 8216295360 in words is "eight billion, two hundred sixteen million, two hundred ninety-five thousand, three hundred sixty".