8369740800 has 264 divisors, whose sum is σ = 30738570800. Its totient is φ = 2231746560.

The previous prime is 8369740763. The next prime is 8369740829. The reversal of 8369740800 is 80479638.

It is a happy number.

It is a super-2 number, since 2×8369740800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685146 + ... + 697254.

Almost surely, 2^8369740800 is an apocalyptic number.

8369740800 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 8369740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369285400).

8369740800 is an abundant number, since it is smaller than the sum of its proper divisors (22368830000).

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

8369740800 is a wasteful number, since it uses less digits than its factorization.

8369740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8369740800 is about 91486.2874970889. The cubic root of 8369740800 is about 2030.3488767594.

The spelling of 8369740800 in words is "eight billion, three hundred sixty-nine million, seven hundred forty thousand, eight hundred".