13767345072 has 240 divisors, whose sum is σ = 42182751520. Its totient is φ = 4166443008.

The previous prime is 13767345013. The next prime is 13767345113. The reversal of 13767345072 is 27054376731.

13767345072 is a `hidden beast` number, since 1 + 3 + 76 + 73 + 4 + 507 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40852488 + ... + 40852824.

Almost surely, 2^13767345072 is an apocalyptic number.

13767345072 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 13767345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091375760).

13767345072 is an abundant number, since it is smaller than the sum of its proper divisors (28415406448).

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

13767345072 is a wasteful number, since it uses less digits than its factorization.

13767345072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 13767345072 in words is "thirteen billion, seven hundred sixty-seven million, three hundred forty-five thousand, seventy-two".