16772273373240 has 1024 divisors, whose sum is σ = 70771802112000. Its totient is φ = 3431828736000.

The previous prime is 16772273373227. The next prime is 16772273373371. The reversal of 16772273373240 is 4237337227761.

16772273373240 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 2 + 27 + 3 + 373 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7551675330 + ... + 7551677550.

It is an arithmetic number, because the mean of its divisors is an integer number (69113088000).

Almost surely, 2^{16772273373240} is an apocalyptic number.

16772273373240 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 16772273373240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385901056000).

16772273373240 is an abundant number, since it is smaller than the sum of its proper divisors (53999528738760).

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

16772273373240 is a wasteful number, since it uses less digits than its factorization.

16772273373240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 16772273373240 in words is "sixteen trillion, seven hundred seventy-two billion, two hundred seventy-three million, three hundred seventy-three thousand, two hundred forty".