8244172800 has 216 divisors, whose sum is σ = 29526899220. Its totient is φ = 2198323200.

The previous prime is 8244172787. The next prime is 8244172813. The reversal of 8244172800 is 82714428.

It is an interprime number because it is at equal distance from previous prime (8244172787) and next prime (8244172813).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451855 + ... + 469745.

Almost surely, 2^8244172800 is an apocalyptic number.

8244172800 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 8244172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763449610).

8244172800 is an abundant number, since it is smaller than the sum of its proper divisors (21282726420).

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

8244172800 is a wasteful number, since it uses less digits than its factorization.

8244172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17929 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8244172800 is about 90797.4272763276. The cubic root of 8244172800 is about 2020.1441585841.

The spelling of 8244172800 in words is "eight billion, two hundred forty-four million, one hundred seventy-two thousand, eight hundred".