16740129466368 has 1728 divisors, whose sum is σ = 62985948480000. Its totient is φ = 4277548154880.

The previous prime is 16740129466339. The next prime is 16740129466469. The reversal of 16740129466368 is 86366492104761.

16740129466368 is a `hidden beast` number, since 1 + 6 + 7 + 40 + 129 + 466 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×16740129466368² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 60433680246 + ... + 60433680522.

Almost surely, 2^{16740129466368} is an apocalyptic number.

16740129466368 is a gapful number since it is divisible by the number (18) 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 16740129466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31492974240000).

16740129466368 is an abundant number, since it is smaller than the sum of its proper divisors (46245819013632).

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

16740129466368 is a wasteful number, since it uses less digits than its factorization.

16740129466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 379 counting only the distinct ones).

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

The spelling of 16740129466368 in words is "sixteen trillion, seven hundred forty billion, one hundred twenty-nine million, four hundred sixty-six thousand, three hundred sixty-eight".