16765413432768 has 3024 divisors, whose sum is σ = 71808489392640. Its totient is φ = 3628697149440.

The previous prime is 16765413432751. The next prime is 16765413432851. The reversal of 16765413432768 is 86723431456761.

16765413432768 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 541 + 3 + 4 + 3 + 27 + 68 = 666.

It is a super-2 number, since 2×16765413432768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 63746819005 + ... + 63746819267.

Almost surely, 2^{16765413432768} is an apocalyptic number.

16765413432768 is a gapful number since it is divisible by the number (18) 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 16765413432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904244696320).

16765413432768 is an abundant number, since it is smaller than the sum of its proper divisors (55043075959872).

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

16765413432768 is a wasteful number, since it uses less digits than its factorization.

16765413432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 341 counting only the distinct ones).

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

The spelling of 16765413432768 in words is "sixteen trillion, seven hundred sixty-five billion, four hundred thirteen million, four hundred thirty-two thousand, seven hundred sixty-eight".