8380191680 has 336 divisors, whose sum is σ = 25518343680. Its totient is φ = 2601510912.

The previous prime is 8380191643. The next prime is 8380191709. The reversal of 8380191680 is 861910838.

It is a happy number.

It is a super-2 number, since 2×8380191680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 6851549 + ... + 6852771.

Almost surely, 2^8380191680 is an apocalyptic number.

8380191680 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 8380191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759171840).

8380191680 is an abundant number, since it is smaller than the sum of its proper divisors (17138152000).

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

8380191680 is a wasteful number, since it uses less digits than its factorization.

8380191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 8380191680 is about 91543.3868720182. The cubic root of 8380191680 is about 2031.1935905692.

The spelling of 8380191680 in words is "eight billion, three hundred eighty million, one hundred ninety-one thousand, six hundred eighty".