2020167282672 has 720 divisors, whose sum is σ = 7334299226592. Its totient is φ = 513106513920.

The previous prime is 2020167282593. The next prime is 2020167282697. The reversal of 2020167282672 is 2762827610202.

2020167282672 is a `hidden beast` number, since 202 + 0 + 167 + 28 + 267 + 2 = 666.

It is a super-3 number, since 3×2020167282672³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1633117638 + ... + 1633118874.

Almost surely, 2^{2020167282672} is an apocalyptic number.

2020167282672 is a gapful number since it is divisible by the number (22) 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 2020167282672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667149613296).

2020167282672 is an abundant number, since it is smaller than the sum of its proper divisors (5314131943920).

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

2020167282672 is a wasteful number, since it uses less digits than its factorization.

2020167282672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2020167282672 in words is "two trillion, twenty billion, one hundred sixty-seven million, two hundred eighty-two thousand, six hundred seventy-two".