16740864000 has 832 divisors, whose sum is σ = 71147681280. Its totient is φ = 3804364800.

The previous prime is 16740863989. The next prime is 16740864013. The reversal of 16740864000 is 46804761.

16740864000 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 0 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767914 + ... + 96768086.

It is an arithmetic number, because the mean of its divisors is an integer number (85514040).

Almost surely, 2^16740864000 is an apocalyptic number.

16740864000 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 16740864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35573840640).

16740864000 is an abundant number, since it is smaller than the sum of its proper divisors (54406817280).

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

16740864000 is an equidigital number, since it uses as much as digits as its factorization.

16740864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16740864000 in words is "sixteen billion, seven hundred forty million, eight hundred sixty-four thousand".