16380766704 has 320 divisors, whose sum is σ = 49985372160. Its totient is φ = 4584222720.

The previous prime is 16380766693. The next prime is 16380766729. The reversal of 16380766704 is 40766708361.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25317709 + ... + 25318355.

It is an arithmetic number, because the mean of its divisors is an integer number (156204288).

Almost surely, 2^16380766704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16380766704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24992686080).

16380766704 is an abundant number, since it is smaller than the sum of its proper divisors (33604605456).

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

16380766704 is a wasteful number, since it uses less digits than its factorization.

16380766704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 16380766704 in words is "sixteen billion, three hundred eighty million, seven hundred sixty-six thousand, seven hundred four".