16772742307040 has 192 divisors, whose sum is σ = 40816347586560. Its totient is φ = 6510573987840.

The previous prime is 16772742307039. The next prime is 16772742307091. The reversal of 16772742307040 is 4070324727761.

It is a self number, because there is not a number n which added to its sum of digits gives 16772742307040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097182277 + ... + 1097197563.

It is an arithmetic number, because the mean of its divisors is an integer number (212585143680).

Almost surely, 2^{16772742307040} is an apocalyptic number.

16772742307040 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 16772742307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408173793280).

16772742307040 is an abundant number, since it is smaller than the sum of its proper divisors (24043605279520).

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

16772742307040 is a wasteful number, since it uses less digits than its factorization.

16772742307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 50.

The spelling of 16772742307040 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred forty-two million, three hundred seven thousand, forty".