1367638275072 has 176 divisors, whose sum is σ = 3765031575552. Its totient is φ = 440917155840.

The previous prime is 1367638275071. The next prime is 1367638275079. The reversal of 1367638275072 is 2705728367631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1367638275071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230744173 + ... + 230750099.

Almost surely, 2^{1367638275072} is an apocalyptic number.

1367638275072 is a gapful number since it is divisible by the number (12) 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 1367638275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882515787776).

1367638275072 is an abundant number, since it is smaller than the sum of its proper divisors (2397393300480).

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

1367638275072 is a wasteful number, since it uses less digits than its factorization.

1367638275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 1367638275072 in words is "one trillion, three hundred sixty-seven billion, six hundred thirty-eight million, two hundred seventy-five thousand, seventy-two".