16764408760320 has 768 divisors, whose sum is σ = 65229175065600. Its totient is φ = 4058921041920.

The previous prime is 16764408760261. The next prime is 16764408760357. The reversal of 16764408760320 is 2306780446761.

16764408760320 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 4 + 4 + 0 + 8 + 7 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 219210409 + ... + 219286871.

It is an arithmetic number, because the mean of its divisors is an integer number (84933821700).

Almost surely, 2^{16764408760320} is an apocalyptic number.

16764408760320 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 16764408760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32614587532800).

16764408760320 is an abundant number, since it is smaller than the sum of its proper divisors (48464766305280).

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

16764408760320 is a wasteful number, since it uses less digits than its factorization.

16764408760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76573 (or 76547 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 16764408760320 in words is "sixteen trillion, seven hundred sixty-four billion, four hundred eight million, seven hundred sixty thousand, three hundred twenty".