2768676212736 has 624 divisors, whose sum is σ = 9316666195200. Its totient is φ = 775878082560.

The previous prime is 2768676212713. The next prime is 2768676212777. The reversal of 2768676212736 is 6372126768672.

2768676212736 is a `hidden beast` number, since 276 + 8 + 6 + 76 + 21 + 273 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6394171176 + ... + 6394171608.

It is an arithmetic number, because the mean of its divisors is an integer number (14930554800).

Almost surely, 2^{2768676212736} 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 2768676212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658333097600).

2768676212736 is an abundant number, since it is smaller than the sum of its proper divisors (6547989982464).

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

2768676212736 is a wasteful number, since it uses less digits than its factorization.

2768676212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 2768676212736 in words is "two trillion, seven hundred sixty-eight billion, six hundred seventy-six million, two hundred twelve thousand, seven hundred thirty-six".