8124748800 has 792 divisors, whose sum is σ = 33334723584. Its totient is φ = 1734082560.

The previous prime is 8124748799. The next prime is 8124748811. The reversal of 8124748800 is 88474218.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63974337 + ... + 63974463.

Almost surely, 2^8124748800 is an apocalyptic number.

8124748800 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 8124748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667361792).

8124748800 is an abundant number, since it is smaller than the sum of its proper divisors (25209974784).

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

8124748800 is a wasteful number, since it uses less digits than its factorization.

8124748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 8124748800 is about 90137.3884689367. The cubic root of 8124748800 is about 2010.3421610028.

The spelling of 8124748800 in words is "eight billion, one hundred twenty-four million, seven hundred forty-eight thousand, eight hundred".