8734567680 has 432 divisors, whose sum is σ = 31337953920. Its totient is φ = 2245017600.

The previous prime is 8734567663. The next prime is 8734567697. The reversal of 8734567680 is 867654378.

8734567680 is a `hidden beast` number, since 8 + 73 + 4 + 567 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8734567663) and next prime (8734567697).

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 47 ways as a sum of consecutive naturals, for example, 48257190 + ... + 48257370.

It is an arithmetic number, because the mean of its divisors is an integer number (72541560).

Almost surely, 2^8734567680 is an apocalyptic number.

8734567680 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 8734567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668976960).

8734567680 is an abundant number, since it is smaller than the sum of its proper divisors (22603386240).

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

8734567680 is a wasteful number, since it uses less digits than its factorization.

8734567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 8734567680 is about 93458.9090456335. The cubic root of 8734567680 is about 2059.4304895018.

The spelling of 8734567680 in words is "eight billion, seven hundred thirty-four million, five hundred sixty-seven thousand, six hundred eighty".