16742729615040 has 1008 divisors, whose sum is σ = 69103571138784. Its totient is φ = 3695228190720.

The previous prime is 16742729615021. The next prime is 16742729615063. The reversal of 16742729615040 is 4051692724761.

16742729615040 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 2 + 72 + 9 + 61 + 504 + 0 = 666.

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, 330682207 + ... + 330732833.

It is an arithmetic number, because the mean of its divisors is an integer number (68555130098).

Almost surely, 2^{16742729615040} is an apocalyptic number.

16742729615040 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 16742729615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34551785569392).

16742729615040 is an abundant number, since it is smaller than the sum of its proper divisors (52360841523744).

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

16742729615040 is a wasteful number, since it uses less digits than its factorization.

16742729615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50758 (or 50734 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 16742729615040 in words is "sixteen trillion, seven hundred forty-two billion, seven hundred twenty-nine million, six hundred fifteen thousand, forty".