220196672640 has 1280 divisors, whose sum is σ = 957936672000. Its totient is φ = 47082995712.

The previous prime is 220196672629. The next prime is 220196672699. The reversal of 220196672640 is 46276691022.

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 159 ways as a sum of consecutive naturals, for example, 751524334 + ... + 751524626.

It is an arithmetic number, because the mean of its divisors is an integer number (748388025).

Almost surely, 2^220196672640 is an apocalyptic number.

220196672640 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 220196672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478968336000).

220196672640 is an abundant number, since it is smaller than the sum of its proper divisors (737739999360).

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

220196672640 is a wasteful number, since it uses less digits than its factorization.

220196672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

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

The spelling of 220196672640 in words is "two hundred twenty billion, one hundred ninety-six million, six hundred seventy-two thousand, six hundred forty".