16803728640 has 720 divisors, whose sum is σ = 63572160960. Its totient is φ = 4233461760.

The previous prime is 16803728633. The next prime is 16803728671. The reversal of 16803728640 is 4682730861.

16803728640 is a `hidden beast` number, since 168 + 0 + 372 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250801887 + ... + 250801953.

It is an arithmetic number, because the mean of its divisors is an integer number (88294668).

Almost surely, 2^16803728640 is an apocalyptic number.

16803728640 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 16803728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31786080480).

16803728640 is an abundant number, since it is smaller than the sum of its proper divisors (46768432320).

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

16803728640 is an equidigital number, since it uses as much as digits as its factorization.

16803728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16803728640 in words is "sixteen billion, eight hundred three million, seven hundred twenty-eight thousand, six hundred forty".