1669864986720 has 1920 divisors, whose sum is σ = 7666420608000. Its totient is φ = 340031913984.

The previous prime is 1669864986659. The next prime is 1669864986733. The reversal of 1669864986720 is 276894689661.

1669864986720 is a `hidden beast` number, since 1 + 6 + 69 + 8 + 6 + 498 + 6 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1435824859 + ... + 1435826021.

It is an arithmetic number, because the mean of its divisors is an integer number (3992927400).

Almost surely, 2^{1669864986720} is an apocalyptic number.

1669864986720 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 1669864986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833210304000).

1669864986720 is an abundant number, since it is smaller than the sum of its proper divisors (5996555621280).

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

1669864986720 is a wasteful number, since it uses less digits than its factorization.

1669864986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 1669864986720 in words is "one trillion, six hundred sixty-nine billion, eight hundred sixty-four million, nine hundred eighty-six thousand, seven hundred twenty".