8266533600 has 432 divisors, whose sum is σ = 29592637200. Its totient is φ = 2003189760.

The previous prime is 8266533551. The next prime is 8266533617. The reversal of 8266533600 is 63356628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36098286 + ... + 36098514.

It is an arithmetic number, because the mean of its divisors is an integer number (68501475).

Almost surely, 2^8266533600 is an apocalyptic number.

8266533600 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 8266533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796318600).

8266533600 is an abundant number, since it is smaller than the sum of its proper divisors (21326103600).

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

8266533600 is a wasteful number, since it uses less digits than its factorization.

8266533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 8266533600 is about 90920.4795411903. The cubic root of 8266533600 is about 2021.9689327507.

The spelling of 8266533600 in words is "eight billion, two hundred sixty-six million, five hundred thirty-three thousand, six hundred".