220672771200 has 1152 divisors, whose sum is σ = 948029322240. Its totient is φ = 49641984000.

The previous prime is 220672771169. The next prime is 220672771211. The reversal of 220672771200 is 2177276022.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386466915 + ... + 386467485.

It is an arithmetic number, because the mean of its divisors is an integer number (822942120).

Almost surely, 2^220672771200 is an apocalyptic number.

220672771200 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 220672771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474014661120).

220672771200 is an abundant number, since it is smaller than the sum of its proper divisors (727356551040).

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

220672771200 is an equidigital number, since it uses as much as digits as its factorization.

220672771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 220672771200 in words is "two hundred twenty billion, six hundred seventy-two million, seven hundred seventy-one thousand, two hundred".