220374977760 has 1152 divisors, whose sum is σ = 940053703680. Its totient is φ = 45888602112.

The previous prime is 220374977689. The next prime is 220374977761. The reversal of 220374977760 is 67779473022.

220374977760 is a `hidden beast` number, since 2 + 20 + 3 + 7 + 497 + 77 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220374977697 and 220374977706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220374977761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 970814767 + ... + 970814993.

It is an arithmetic number, because the mean of its divisors is an integer number (816018840).

Almost surely, 2^220374977760 is an apocalyptic number.

220374977760 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 220374977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470026851840).

220374977760 is an abundant number, since it is smaller than the sum of its proper divisors (719678725920).

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

220374977760 is a wasteful number, since it uses less digits than its factorization.

220374977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 220374977760 in words is "two hundred twenty billion, three hundred seventy-four million, nine hundred seventy-seven thousand, seven hundred sixty".