1668924117504 has 960 divisors, whose sum is σ = 6078210969600. Its totient is φ = 442762592256.

The previous prime is 1668924117499. The next prime is 1668924117517. The reversal of 1668924117504 is 4057114298661.

1668924117504 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 92 + 41 + 1 + 7 + 504 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2321173657 + ... + 2321174375.

It is an arithmetic number, because the mean of its divisors is an integer number (6331469760).

Almost surely, 2^{1668924117504} is an apocalyptic number.

1668924117504 is a gapful number since it is divisible by the number (14) 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 1668924117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039105484800).

1668924117504 is an abundant number, since it is smaller than the sum of its proper divisors (4409286852096).

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

1668924117504 is an equidigital number, since it uses as much as digits as its factorization.

1668924117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1668924117504 in words is "one trillion, six hundred sixty-eight billion, nine hundred twenty-four million, one hundred seventeen thousand, five hundred four".