8371948800 has 216 divisors, whose sum is σ = 27748362880. Its totient is φ = 2222899200.

The previous prime is 8371948771. The next prime is 8371948811. The reversal of 8371948800 is 88491738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8371948800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5202396 + ... + 5204004.

Almost surely, 2^8371948800 is an apocalyptic number.

8371948800 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 8371948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874181440).

8371948800 is an abundant number, since it is smaller than the sum of its proper divisors (19376414080).

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

8371948800 is a wasteful number, since it uses less digits than its factorization.

8371948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 8371948800 is about 91498.3540835572. The cubic root of 8371948800 is about 2030.5274014500.

The spelling of 8371948800 in words is "eight billion, three hundred seventy-one million, nine hundred forty-eight thousand, eight hundred".