220664939040 has 1536 divisors, whose sum is σ = 1033946726400. Its totient is φ = 42639851520.

The previous prime is 220664939039. The next prime is 220664939069. The reversal of 220664939040 is 40939466022.

It is a super-2 number, since 2×220664939040² (a number of 23 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 231547204 + ... + 231548156.

It is an arithmetic number, because the mean of its divisors is an integer number (673142400).

Almost surely, 2^220664939040 is an apocalyptic number.

220664939040 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 220664939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516973363200).

220664939040 is an abundant number, since it is smaller than the sum of its proper divisors (813281787360).

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

220664939040 is a wasteful number, since it uses less digits than its factorization.

220664939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 220664939040 in words is "two hundred twenty billion, six hundred sixty-four million, nine hundred thirty-nine thousand, forty".