8216573904 has 400 divisors, whose sum is σ = 29915335296. Its totient is φ = 2115072000.

The previous prime is 8216573891. The next prime is 8216573923. The reversal of 8216573904 is 4093756128.

8216573904 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

8216573904 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8216573904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13671204 + ... + 13671804.

It is a 1-persistent number, because it is pandigital, but 2⋅8216573904 = 16433147808 is not.

Almost surely, 2^8216573904 is an apocalyptic number.

8216573904 is a gapful number since it is divisible by the number (84) 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 8216573904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957667648).

8216573904 is an abundant number, since it is smaller than the sum of its proper divisors (21698761392).

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

8216573904 is a wasteful number, since it uses less digits than its factorization.

8216573904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8216573904 is about 90645.3192613937. The cubic root of 8216573904 is about 2017.8873694073.

The spelling of 8216573904 in words is "eight billion, two hundred sixteen million, five hundred seventy-three thousand, nine hundred four".