16734093747840 has 768 divisors, whose sum is σ = 69345987321600. Its totient is φ = 3735933788160.

The previous prime is 16734093747829. The next prime is 16734093747881. The reversal of 16734093747840 is 4874739043761.

16734093747840 is a `hidden beast` number, since 1 + 6 + 7 + 34 + 0 + 93 + 7 + 478 + 40 = 666.

It is a super-2 number, since 2×16734093747840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223617630 + ... + 223692450.

It is an arithmetic number, because the mean of its divisors is an integer number (90294254325).

Almost surely, 2^{16734093747840} is an apocalyptic number.

16734093747840 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 16734093747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672993660800).

16734093747840 is an abundant number, since it is smaller than the sum of its proper divisors (52611893573760).

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

16734093747840 is an equidigital number, since it uses as much as digits as its factorization.

16734093747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74942 (or 74881 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 16734093747840 in words is "sixteen trillion, seven hundred thirty-four billion, ninety-three million, seven hundred forty-seven thousand, eight hundred forty".