2020362749768 has 192 divisors, whose sum is σ = 4344643968000. Its totient is φ = 879173222400.

The previous prime is 2020362749759. The next prime is 2020362749777. The reversal of 2020362749768 is 8679472630202.

It is an interprime number because it is at equal distance from previous prime (2020362749759) and next prime (2020362749777).

It is a super-2 number, since 2×2020362749768² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152516380 + ... + 1152518132.

It is an arithmetic number, because the mean of its divisors is an integer number (22628354000).

Almost surely, 2^{2020362749768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020362749768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172321984000).

2020362749768 is an abundant number, since it is smaller than the sum of its proper divisors (2324281218232).

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

2020362749768 is a wasteful number, since it uses less digits than its factorization.

2020362749768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 2020362749768 in words is "two trillion, twenty billion, three hundred sixty-two million, seven hundred forty-nine thousand, seven hundred sixty-eight".