14642074399680 has 2688 divisors, whose sum is σ = 68049618739200. Its totient is φ = 2885248843776.

The previous prime is 14642074399679. The next prime is 14642074399703. The reversal of 14642074399680 is 8699347024641.

It is a happy number.

14642074399680 is a `hidden beast` number, since 1 + 4 + 6 + 420 + 7 + 43 + 9 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22422778234 + ... + 22422778886.

It is an arithmetic number, because the mean of its divisors is an integer number (25316078400).

Almost surely, 2^{14642074399680} is an apocalyptic number.

14642074399680 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 14642074399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34024809369600).

14642074399680 is an abundant number, since it is smaller than the sum of its proper divisors (53407544339520).

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

14642074399680 is a wasteful number, since it uses less digits than its factorization.

14642074399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 14642074399680 in words is "fourteen trillion, six hundred forty-two billion, seventy-four million, three hundred ninety-nine thousand, six hundred eighty".