16780064000 has 288 divisors, whose sum is σ = 49865227776. Its totient is φ = 5501337600.

The previous prime is 16780063903. The next prime is 16780064009. The reversal of 16780064000 is 46008761.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16780064009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5150372 + ... + 5153628.

It is an arithmetic number, because the mean of its divisors is an integer number (173143152).

Almost surely, 2^16780064000 is an apocalyptic number.

16780064000 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 16780064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932613888).

16780064000 is an abundant number, since it is smaller than the sum of its proper divisors (33085163776).

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

16780064000 is an equidigital number, since it uses as much as digits as its factorization.

16780064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 16780064000 in words is "sixteen billion, seven hundred eighty million, sixty-four thousand".