8369222400 has 1728 divisors, whose sum is σ = 41607336960. Its totient is φ = 1592524800.

The previous prime is 8369222357. The next prime is 8369222447. The reversal of 8369222400 is 42229638.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 226195182 + ... + 226195218.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^8369222400 is an apocalyptic number.

8369222400 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 8369222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803668480).

8369222400 is an abundant number, since it is smaller than the sum of its proper divisors (33238114560).

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

8369222400 is a wasteful number, since it uses less digits than its factorization.

8369222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8369222400 is about 91483.4542417371. The cubic root of 8369222400 is about 2030.3069577158.

The spelling of 8369222400 in words is "eight billion, three hundred sixty-nine million, two hundred twenty-two thousand, four hundred".