20736349200 has 1080 divisors, whose sum is σ = 92288289600. Its totient is φ = 4279080960.

The previous prime is 20736349169. The next prime is 20736349229. The reversal of 20736349200 is 294363702.

It is a happy number.

20736349200 is a `hidden beast` number, since 207 + 363 + 4 + 92 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77086666 + ... + 77086934.

It is an arithmetic number, because the mean of its divisors is an integer number (85452120).

Almost surely, 2^20736349200 is an apocalyptic number.

20736349200 is a gapful number since it is divisible by the number (20) 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 20736349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46144144800).

20736349200 is an abundant number, since it is smaller than the sum of its proper divisors (71551940400).

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

20736349200 is a wasteful number, since it uses less digits than its factorization.

20736349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20736349200 in words is "twenty billion, seven hundred thirty-six million, three hundred forty-nine thousand, two hundred".