16430767645680 has 280 divisors, whose sum is σ = 57504343705200. Its totient is φ = 4364077824000.

The previous prime is 16430767645667. The next prime is 16430767645681. The reversal of 16430767645680 is 8654676703461.

16430767645680 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 7 + 6 + 7 + 64 + 568 + 0 = 666.

16430767645680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16430767645681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14077096 + ... + 15199544.

It is an arithmetic number, because the mean of its divisors is an integer number (205372656090).

Almost surely, 2^{16430767645680} is an apocalyptic number.

16430767645680 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 16430767645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28752171852600).

16430767645680 is an abundant number, since it is smaller than the sum of its proper divisors (41073576059520).

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

16430767645680 is a wasteful number, since it uses less digits than its factorization.

16430767645680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122731 (or 1122710 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 16430767645680 in words is "sixteen trillion, four hundred thirty billion, seven hundred sixty-seven million, six hundred forty-five thousand, six hundred eighty".