220276368900 has 648 divisors, whose sum is σ = 851529456960. Its totient is φ = 47355840000.

The previous prime is 220276368887. The next prime is 220276368937. The reversal of 220276368900 is 9863672022.

220276368900 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 7 + 636 + 8 + 9 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 126522030 + ... + 126523770.

Almost surely, 2^220276368900 is an apocalyptic number.

220276368900 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 220276368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425764728480).

220276368900 is an abundant number, since it is smaller than the sum of its proper divisors (631253088060).

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

220276368900 is a wasteful number, since it uses less digits than its factorization.

220276368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 220276368900 in words is "two hundred twenty billion, two hundred seventy-six million, three hundred sixty-eight thousand, nine hundred".