8216974080 has 864 divisors, whose sum is σ = 35508695040. Its totient is φ = 1711964160.

The previous prime is 8216974069. The next prime is 8216974093. The reversal of 8216974080 is 804796128.

8216974080 is a `hidden beast` number, since 82 + 169 + 7 + 408 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47496874 + ... + 47497046.

Almost surely, 2^8216974080 is an apocalyptic number.

8216974080 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 8216974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754347520).

8216974080 is an abundant number, since it is smaller than the sum of its proper divisors (27291720960).

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

8216974080 is a wasteful number, since it uses less digits than its factorization.

8216974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8216974080 is about 90647.5266071833. The cubic root of 8216974080 is about 2017.9201282756.

The spelling of 8216974080 in words is "eight billion, two hundred sixteen million, nine hundred seventy-four thousand, eighty".