16347703680 has 1536 divisors, whose sum is σ = 76988620800. Its totient is φ = 3096576000.

The previous prime is 16347703679. The next prime is 16347703703. The reversal of 16347703680 is 8630774361.

16347703680 is a `hidden beast` number, since 1 + 634 + 7 + 7 + 0 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 398724460 + ... + 398724500.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^16347703680 is an apocalyptic number.

16347703680 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 16347703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38494310400).

16347703680 is an abundant number, since it is smaller than the sum of its proper divisors (60640917120).

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

16347703680 is a wasteful number, since it uses less digits than its factorization.

16347703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 16347 and 703680, that added together give a palindrome (720027).

The spelling of 16347703680 in words is "sixteen billion, three hundred forty-seven million, seven hundred three thousand, six hundred eighty".