1664000163072 has 432 divisors, whose sum is σ = 5367796434000. Its totient is φ = 492231720960.

The previous prime is 1664000163041. The next prime is 1664000163109. The reversal of 1664000163072 is 2703610004661.

It is a happy number.

1664000163072 is a `hidden beast` number, since 1 + 6 + 640 + 0 + 0 + 1 + 6 + 3 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6333613056 + 1657666550016 = 79584^2 + 1287504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209330554 + ... + 209338502.

Almost surely, 2^{1664000163072} is an apocalyptic number.

1664000163072 is a gapful number since it is divisible by the number (12) 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 1664000163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683898217000).

1664000163072 is an abundant number, since it is smaller than the sum of its proper divisors (3703796270928).

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

1664000163072 is a wasteful number, since it uses less digits than its factorization.

1664000163072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1664000163072 in words is "one trillion, six hundred sixty-four billion, one hundred sixty-three thousand, seventy-two".