2677738787856 has 480 divisors, whose sum is σ = 8640212705280. Its totient is φ = 766713600000.

The previous prime is 2677738787821. The next prime is 2677738787939. The reversal of 2677738787856 is 6587878377762.

2677738787856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437464476 + ... + 437470596.

It is an arithmetic number, because the mean of its divisors is an integer number (18000443136).

Almost surely, 2^{2677738787856} 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 2677738787856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320106352640).

2677738787856 is an abundant number, since it is smaller than the sum of its proper divisors (5962473917424).

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

2677738787856 is a wasteful number, since it uses less digits than its factorization.

2677738787856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6378 counting only the distinct ones).

The product of its digits is 9293598720, while the sum is 81.

The spelling of 2677738787856 in words is "two trillion, six hundred seventy-seven billion, seven hundred thirty-eight million, seven hundred eighty-seven thousand, eight hundred fifty-six".