1226764320768 has 720 divisors, whose sum is σ = 4439687402304. Its totient is φ = 329546465280.

The previous prime is 1226764320757. The next prime is 1226764320779. The reversal of 1226764320768 is 8670234676221.

It is an interprime number because it is at equal distance from previous prime (1226764320757) and next prime (1226764320779).

It is a super-2 number, since 2×1226764320768² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1263402523 + ... + 1263403493.

Almost surely, 2^{1226764320768} is an apocalyptic number.

1226764320768 is a gapful number since it is divisible by the number (18) 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 1226764320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219843701152).

1226764320768 is an abundant number, since it is smaller than the sum of its proper divisors (3212923081536).

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

1226764320768 is an frugal number, since it uses more digits than its factorization.

1226764320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

Adding to 1226764320768 its reverse (8670234676221), we get a palindrome (9896998996989).

It can be divided in two parts, 122676 and 4320768, that added together give a palindrome (4443444).

The spelling of 1226764320768 in words is "one trillion, two hundred twenty-six billion, seven hundred sixty-four million, three hundred twenty thousand, seven hundred sixty-eight".