13746340776960 has 2816 divisors, whose sum is σ = 58678168780800. Its totient is φ = 3015711129600.

The previous prime is 13746340776911. The next prime is 13746340776967. The reversal of 13746340776960 is 6967704364731.

13746340776960 is a `hidden beast` number, since 1 + 3 + 7 + 463 + 40 + 7 + 76 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is not an unprimeable number, because it can be changed into a prime (13746340776967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71970370465 + ... + 71970370655.

Almost surely, 2^{13746340776960} is an apocalyptic number.

13746340776960 is a gapful number since it is divisible by the number (10) 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 13746340776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29339084390400).

13746340776960 is an abundant number, since it is smaller than the sum of its proper divisors (44931828003840).

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

13746340776960 is a wasteful number, since it uses less digits than its factorization.

13746340776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 13746340776960 in words is "thirteen trillion, seven hundred forty-six billion, three hundred forty million, seven hundred seventy-six thousand, nine hundred sixty".