1668955745464 has 96 divisors (see below), whose sum is σ = 3720170280960. Its totient is φ = 699573336000.

The previous prime is 1668955745461. The next prime is 1668955745467. The reversal of 1668955745464 is 4645475598661.

It is an interprime number because it is at equal distance from previous prime (1668955745461) and next prime (1668955745467).

It is a junction number, because it is equal to n+sod(n) for n = 1668955745393 and 1668955745402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668955745461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27808689 + ... + 27868639.

It is an arithmetic number, because the mean of its divisors is an integer number (38751773760).

Almost surely, 2^{1668955745464} is an apocalyptic number.

1668955745464 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 1668955745464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860085140480).

1668955745464 is an abundant number, since it is smaller than the sum of its proper divisors (2051214535496).

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

1668955745464 is a wasteful number, since it uses less digits than its factorization.

1668955745464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61529 (or 61518 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 70.

The spelling of 1668955745464 in words is "one trillion, six hundred sixty-eight billion, nine hundred fifty-five million, seven hundred forty-five thousand, four hundred sixty-four".