2820768938064 has 1920 divisors, whose sum is σ = 11741248512000. Its totient is φ = 629982904320.

The previous prime is 2820768938033. The next prime is 2820768938129. The reversal of 2820768938064 is 4608398670282.

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

It is a junction number, because it is equal to n+sod(n) for n = 2820768937992 and 2820768938010.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 3427422357 + ... + 3427423179.

It is an arithmetic number, because the mean of its divisors is an integer number (6115233600).

Almost surely, 2^{2820768938064} is an apocalyptic number.

2820768938064 is a gapful number since it is divisible by the number (24) 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 2820768938064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870624256000).

2820768938064 is an abundant number, since it is smaller than the sum of its proper divisors (8920479573936).

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

2820768938064 is a wasteful number, since it uses less digits than its factorization.

2820768938064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2820768938064 in words is "two trillion, eight hundred twenty billion, seven hundred sixty-eight million, nine hundred thirty-eight thousand, sixty-four".