8309993472 has 546 divisors, whose sum is σ = 28577219496. Its totient is φ = 2408693760.

The previous prime is 8309993459. The next prime is 8309993477. The reversal of 8309993472 is 2743999038.

8309993472 is a `hidden beast` number, since 83 + 0 + 9 + 9 + 93 + 472 = 666.

It is a super-2 number, since 2×8309993472² (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 not an unprimeable number, because it can be changed into a prime (8309993477) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 361304053 + ... + 361304075.

Almost surely, 2^8309993472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8309993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288609748).

8309993472 is an abundant number, since it is smaller than the sum of its proper divisors (20267226024).

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

8309993472 is an equidigital number, since it uses as much as digits as its factorization.

8309993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 8309993472 is about 91159.1655951282. The cubic root of 8309993472 is about 2025.5061253411.

The spelling of 8309993472 in words is "eight billion, three hundred nine million, nine hundred ninety-three thousand, four hundred seventy-two".