16766380646400 has 2016 divisors, whose sum is σ = 70983288332352. Its totient is φ = 3452751052800.

The previous prime is 16766380646341. The next prime is 16766380646447. The reversal of 16766380646400 is 464608366761.

It is a super-2 number, since 2×16766380646400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65238835072 + ... + 65238835328.

Almost surely, 2^{16766380646400} is an apocalyptic number.

16766380646400 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 16766380646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35491644166176).

16766380646400 is an abundant number, since it is smaller than the sum of its proper divisors (54216907685952).

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

16766380646400 is a wasteful number, since it uses less digits than its factorization.

16766380646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 16766380646400 in words is "sixteen trillion, seven hundred sixty-six billion, three hundred eighty million, six hundred forty-six thousand, four hundred".