1667664089280 has 448 divisors, whose sum is σ = 6742008238080. Its totient is φ = 380136665088.

The previous prime is 1667664089269. The next prime is 1667664089303. The reversal of 1667664089280 is 829804667661.

1667664089280 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 66 + 408 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1667664089280² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22158594 + ... + 22233726.

Almost surely, 2^{1667664089280} is an apocalyptic number.

1667664089280 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 1667664089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371004119040).

1667664089280 is an abundant number, since it is smaller than the sum of its proper divisors (5074344148800).

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

1667664089280 is a wasteful number, since it uses less digits than its factorization.

1667664089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75533 (or 75517 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1667664089280 in words is "one trillion, six hundred sixty-seven billion, six hundred sixty-four million, eighty-nine thousand, two hundred eighty".