8386267680 has 288 divisors, whose sum is σ = 33375888000. Its totient is φ = 1916748288.

The previous prime is 8386267661. The next prime is 8386267691. The reversal of 8386267680 is 867626838.

It is a happy number.

8386267680 is a `hidden beast` number, since 8 + 3 + 8 + 626 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8386267680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485431 + ... + 502409.

It is an arithmetic number, because the mean of its divisors is an integer number (115888500).

Almost surely, 2^8386267680 is an apocalyptic number.

8386267680 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 8386267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687944000).

8386267680 is an abundant number, since it is smaller than the sum of its proper divisors (24989620320).

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

8386267680 is a wasteful number, since it uses less digits than its factorization.

8386267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8386267680 is about 91576.5673084551. The cubic root of 8386267680 is about 2031.6843729289.

The spelling of 8386267680 in words is "eight billion, three hundred eighty-six million, two hundred sixty-seven thousand, six hundred eighty".