8193876480 has 240 divisors, whose sum is σ = 28519971480. Its totient is φ = 2174091264.

The previous prime is 8193876473. The next prime is 8193876491. The reversal of 8193876480 is 846783918.

8193876480 is a `hidden beast` number, since 8 + 1 + 93 + 8 + 76 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6745008384 + 1448868096 = 82128^2 + 38064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8193876480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5275384 + ... + 5276936.

Almost surely, 2^8193876480 is an apocalyptic number.

8193876480 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 8193876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259985740).

8193876480 is an abundant number, since it is smaller than the sum of its proper divisors (20326095000).

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

8193876480 is a wasteful number, since it uses less digits than its factorization.

8193876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8193876480 is about 90520.0335837322. The cubic root of 8193876480 is about 2016.0275884358.

The spelling of 8193876480 in words is "eight billion, one hundred ninety-three million, eight hundred seventy-six thousand, four hundred eighty".