8303682816 has 576 divisors, whose sum is σ = 29888839680. Its totient is φ = 2239488000.

The previous prime is 8303682791. The next prime is 8303682851. The reversal of 8303682816 is 6182863038.

8303682816 is a `hidden beast` number, since 8 + 3 + 0 + 368 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8303682816² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30640761 + ... + 30641031.

Almost surely, 2^8303682816 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 8303682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944419840).

8303682816 is an abundant number, since it is smaller than the sum of its proper divisors (21585156864).

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

8303682816 is a wasteful number, since it uses less digits than its factorization.

8303682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8303682816 is about 91124.5456284968. The cubic root of 8303682816 is about 2024.9932685647.

The spelling of 8303682816 in words is "eight billion, three hundred three million, six hundred eighty-two thousand, eight hundred sixteen".