8269113600 has 648 divisors, whose sum is σ = 33371030784. Its totient is φ = 1935360000.

The previous prime is 8269113533. The next prime is 8269113607. The reversal of 8269113600 is 63119628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8269113607) 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 71 ways as a sum of consecutive naturals, for example, 19641390 + ... + 19641810.

Almost surely, 2^8269113600 is an apocalyptic number.

8269113600 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 8269113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685515392).

8269113600 is an abundant number, since it is smaller than the sum of its proper divisors (25101917184).

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

8269113600 is a wasteful number, since it uses less digits than its factorization.

8269113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8269113600 is about 90934.6666568916. Note that the first 4 decimals coincide. The cubic root of 8269113600 is about 2022.1792642505.

The spelling of 8269113600 in words is "eight billion, two hundred sixty-nine million, one hundred thirteen thousand, six hundred".