2776749655680 has 6144 divisors, whose sum is σ = 15190447104000. Its totient is φ = 468202291200.

The previous prime is 2776749655633. The next prime is 2776749655681. The reversal of 2776749655680 is 865569476772.

2776749655680 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 7 + 496 + 5 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2776749655599 and 2776749655608.

It is not an unprimeable number, because it can be changed into a prime (2776749655681) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 39109150045 + ... + 39109150115.

It is an arithmetic number, because the mean of its divisors is an integer number (2472403500).

Almost surely, 2^{2776749655680} is an apocalyptic number.

2776749655680 is a gapful number since it is divisible by the number (20) 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 2776749655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595223552000).

2776749655680 is an abundant number, since it is smaller than the sum of its proper divisors (12413697448320).

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

2776749655680 is a wasteful number, since it uses less digits than its factorization.

2776749655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 2776749655680 in words is "two trillion, seven hundred seventy-six billion, seven hundred forty-nine million, six hundred fifty-five thousand, six hundred eighty".