8132744800 has 288 divisors, whose sum is σ = 22356069120. Its totient is φ = 2874009600.

The previous prime is 8132744797. The next prime is 8132744803. The reversal of 8132744800 is 84472318.

It is an interprime number because it is at equal distance from previous prime (8132744797) and next prime (8132744803).

It is a super-2 number, since 2×8132744800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8132744800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132744803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15032530 + ... + 15033070.

It is an arithmetic number, because the mean of its divisors is an integer number (77625240).

Almost surely, 2^8132744800 is an apocalyptic number.

8132744800 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 8132744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178034560).

8132744800 is an abundant number, since it is smaller than the sum of its proper divisors (14223324320).

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

8132744800 is a wasteful number, since it uses less digits than its factorization.

8132744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 8132744800 is about 90181.7320747390. The cubic root of 8132744800 is about 2011.0014398669.

The spelling of 8132744800 in words is "eight billion, one hundred thirty-two million, seven hundred forty-four thousand, eight hundred".