8363644800 has 192 divisors, whose sum is σ = 31483401600. Its totient is φ = 1911674880.

The previous prime is 8363644763. The next prime is 8363644801. The reversal of 8363644800 is 84463638.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8363644801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971 + ... + 129429.

It is an arithmetic number, because the mean of its divisors is an integer number (163976050).

Almost surely, 2^8363644800 is an apocalyptic number.

8363644800 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 8363644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741700800).

8363644800 is an abundant number, since it is smaller than the sum of its proper divisors (23119756800).

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

8363644800 is a wasteful number, since it uses less digits than its factorization.

8363644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124493 (or 124476 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 8363644800 is about 91452.9649601367. The cubic root of 8363644800 is about 2029.8558303140.

The spelling of 8363644800 in words is "eight billion, three hundred sixty-three million, six hundred forty-four thousand, eight hundred".