8393474880 has 448 divisors, whose sum is σ = 34121018880. Its totient is φ = 1902624768.

The previous prime is 8393474833. The next prime is 8393474891. The reversal of 8393474880 is 884743938.

8393474880 is a `hidden beast` number, since 8 + 3 + 93 + 474 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×8393474880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 8285254 + ... + 8286266.

Almost surely, 2^8393474880 is an apocalyptic number.

8393474880 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 8393474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17060509440).

8393474880 is an abundant number, since it is smaller than the sum of its proper divisors (25727544000).

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

8393474880 is a wasteful number, since it uses less digits than its factorization.

8393474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1167 counting only the distinct ones).

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

The square root of 8393474880 is about 91615.9095354077. The cubic root of 8393474880 is about 2032.2662194860.

The spelling of 8393474880 in words is "eight billion, three hundred ninety-three million, four hundred seventy-four thousand, eight hundred eighty".