16802899940736 has 768 divisors, whose sum is σ = 61640083814400. Its totient is φ = 4273321328640.

The previous prime is 16802899940623. The next prime is 16802899940791. The reversal of 16802899940736 is 63704999820861.

16802899940736 is a `hidden beast` number, since 1 + 6 + 80 + 28 + 9 + 99 + 407 + 36 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 2769553575 + ... + 2769559641.

It is an arithmetic number, because the mean of its divisors is an integer number (80260525800).

Almost surely, 2^{16802899940736} is an apocalyptic number.

16802899940736 is a gapful number since it is divisible by the number (16) 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 16802899940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820041907200).

16802899940736 is an abundant number, since it is smaller than the sum of its proper divisors (44837183873664).

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

16802899940736 is a wasteful number, since it uses less digits than its factorization.

16802899940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 16802899940736 in words is "sixteen trillion, eight hundred two billion, eight hundred ninety-nine million, nine hundred forty thousand, seven hundred thirty-six".