2766741848640 has 1344 divisors, whose sum is σ = 12721728257280. Its totient is φ = 559334522880.

The previous prime is 2766741848587. The next prime is 2766741848699. The reversal of 2766741848640 is 468481476672.

2766741848640 is a `hidden beast` number, since 2 + 76 + 6 + 7 + 41 + 8 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172299492 + ... + 172315548.

It is an arithmetic number, because the mean of its divisors is an integer number (9465571620).

Almost surely, 2^{2766741848640} is an apocalyptic number.

2766741848640 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 2766741848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360864128640).

2766741848640 is an abundant number, since it is smaller than the sum of its proper divisors (9954986408640).

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

2766741848640 is a wasteful number, since it uses less digits than its factorization.

2766741848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 2766741848640 in words is "two trillion, seven hundred sixty-six billion, seven hundred forty-one million, eight hundred forty-eight thousand, six hundred forty".