2788405745664 has 1152 divisors, whose sum is σ = 10131570408960. Its totient is φ = 664896798720.

The previous prime is 2788405745659. The next prime is 2788405745771. The reversal of 2788405745664 is 4665475048872.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2788405745595 and 2788405745604.

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 95 ways as a sum of consecutive naturals, for example, 3804100242 + ... + 3804100974.

It is an arithmetic number, because the mean of its divisors is an integer number (8794765980).

Almost surely, 2^{2788405745664} is an apocalyptic number.

2788405745664 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 2788405745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065785204480).

2788405745664 is an abundant number, since it is smaller than the sum of its proper divisors (7343164663296).

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

2788405745664 is a wasteful number, since it uses less digits than its factorization.

2788405745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 66.

The spelling of 2788405745664 in words is "two trillion, seven hundred eighty-eight billion, four hundred five million, seven hundred forty-five thousand, six hundred sixty-four".