16762566487680 has 640 divisors, whose sum is σ = 65283176851200. Its totient is φ = 4073927270400.

The previous prime is 16762566487679. The next prime is 16762566487687. The reversal of 16762566487680 is 8678466526761.

16762566487680 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 2 + 5 + 66 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×16762566487680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16762566487599 and 16762566487608.

It is not an unprimeable number, because it can be changed into a prime (16762566487687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53082255 + ... + 53397105.

It is an arithmetic number, because the mean of its divisors is an integer number (102004963830).

Almost surely, 2^{16762566487680} is an apocalyptic number.

16762566487680 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 16762566487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32641588425600).

16762566487680 is an abundant number, since it is smaller than the sum of its proper divisors (48520610363520).

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

16762566487680 is a wasteful number, since it uses less digits than its factorization.

16762566487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314974 (or 314953 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 16762566487680 in words is "sixteen trillion, seven hundred sixty-two billion, five hundred sixty-six million, four hundred eighty-seven thousand, six hundred eighty".