13764496112640 has 2112 divisors, whose sum is σ = 64109634693120. Its totient is φ = 2732772556800.

The previous prime is 13764496112597. The next prime is 13764496112651. The reversal of 13764496112640 is 4621169446731.

It is a happy number.

13764496112640 is a `hidden beast` number, since 1 + 3 + 76 + 449 + 6 + 1 + 126 + 4 + 0 = 666.

It is a super-2 number, since 2×13764496112640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2780142165 + ... + 2780147115.

Almost surely, 2^{13764496112640} is an apocalyptic number.

13764496112640 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 13764496112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32054817346560).

13764496112640 is an abundant number, since it is smaller than the sum of its proper divisors (50345138580480).

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

13764496112640 is a wasteful number, since it uses less digits than its factorization.

13764496112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13764496112640 in words is "thirteen trillion, seven hundred sixty-four billion, four hundred ninety-six million, one hundred twelve thousand, six hundred forty".