221269767768 has 384 divisors, whose sum is σ = 737807616000. Its totient is φ = 60785303040.

The previous prime is 221269767737. The next prime is 221269767791. The reversal of 221269767768 is 867767962122.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106944238 + ... + 106946306.

It is an arithmetic number, because the mean of its divisors is an integer number (1921374000).

Almost surely, 2^221269767768 is an apocalyptic number.

221269767768 is a gapful number since it is divisible by the number (28) 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 221269767768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368903808000).

221269767768 is an abundant number, since it is smaller than the sum of its proper divisors (516537848232).

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

221269767768 is a wasteful number, since it uses less digits than its factorization.

221269767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2381 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 221269767768 in words is "two hundred twenty-one billion, two hundred sixty-nine million, seven hundred sixty-seven thousand, seven hundred sixty-eight".