220468469760 has 1120 divisors, whose sum is σ = 986540746752. Its totient is φ = 45758545920.

The previous prime is 220468469747. The next prime is 220468469773. The reversal of 220468469760 is 67964864022.

It is an interprime number because it is at equal distance from previous prime (220468469747) and next prime (220468469773).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 220468469697 and 220468469706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255467089 + ... + 255467951.

Almost surely, 2^220468469760 is an apocalyptic number.

220468469760 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 220468469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493270373376).

220468469760 is an abundant number, since it is smaller than the sum of its proper divisors (766072276992).

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

220468469760 is an equidigital number, since it uses as much as digits as its factorization.

220468469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 220468469760 in words is "two hundred twenty billion, four hundred sixty-eight million, four hundred sixty-nine thousand, seven hundred sixty".