16728750720 has 1024 divisors, whose sum is σ = 71066419200. Its totient is φ = 3671654400.

The previous prime is 16728750691. The next prime is 16728750721. The reversal of 16728750720 is 2705782761.

16728750720 is a `hidden beast` number, since 1 + 67 + 2 + 87 + 507 + 2 + 0 = 666.

It is a super-2 number, since 2×16728750720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16728750721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100172077 + ... + 100172243.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 2^16728750720 is an apocalyptic number.

16728750720 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 16728750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533209600).

16728750720 is an abundant number, since it is smaller than the sum of its proper divisors (54337668480).

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

16728750720 is a wasteful number, since it uses less digits than its factorization.

16728750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 16728750720 in words is "sixteen billion, seven hundred twenty-eight million, seven hundred fifty thousand, seven hundred twenty".