221696766720 has 1440 divisors, whose sum is σ = 982252212480. Its totient is φ = 46939668480.

The previous prime is 221696766713. The next prime is 221696766727. The reversal of 221696766720 is 27667696122.

It is an interprime number because it is at equal distance from previous prime (221696766713) and next prime (221696766727).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (221696766727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 281698167 + ... + 281698953.

It is an arithmetic number, because the mean of its divisors is an integer number (682119592).

Almost surely, 2^221696766720 is an apocalyptic number.

221696766720 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 221696766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491126106240).

221696766720 is an abundant number, since it is smaller than the sum of its proper divisors (760555445760).

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

221696766720 is a wasteful number, since it uses less digits than its factorization.

221696766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 221696766720 in words is "two hundred twenty-one billion, six hundred ninety-six million, seven hundred sixty-six thousand, seven hundred twenty".