2766478738716 has 768 divisors, whose sum is σ = 9719532748800. Its totient is φ = 659106201600.

The previous prime is 2766478738711. The next prime is 2766478738729. The reversal of 2766478738716 is 6178378746672.

2766478738716 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 478 + 73 + 87 + 1 + 6 = 666.

It is a super-2 number, since 2×2766478738716² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766478738711) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 670009740 + ... + 670013868.

It is an arithmetic number, because the mean of its divisors is an integer number (12655641600).

Almost surely, 2^{2766478738716} 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 2766478738716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859766374400).

2766478738716 is an abundant number, since it is smaller than the sum of its proper divisors (6953054010084).

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

2766478738716 is a wasteful number, since it uses less digits than its factorization.

2766478738716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4319 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 2766478738716 in words is "two trillion, seven hundred sixty-six billion, four hundred seventy-eight million, seven hundred thirty-eight thousand, seven hundred sixteen".