2763468673992 has 96 divisors (see below), whose sum is σ = 8062200127800. Its totient is φ = 850078291968.

The previous prime is 2763468673961. The next prime is 2763468673993. The reversal of 2763468673992 is 2993768643672.

2763468673992 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 468 + 6 + 73 + 9 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2625935984676 + 137532689316 = 1620474^2 + 370854^2 .

It is a super-2 number, since 2×2763468673992² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2763468673992.

It is not an unprimeable number, because it can be changed into a prime (2763468673993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3260518 + ... + 4019690.

Almost surely, 2^{2763468673992} is an apocalyptic number.

It is an amenable number.

2763468673992 is an abundant number, since it is smaller than the sum of its proper divisors (5298731453808).

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

2763468673992 is a wasteful number, since it uses less digits than its factorization.

2763468673992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763087 (or 763080 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 2763468673992 in words is "two trillion, seven hundred sixty-three billion, four hundred sixty-eight million, six hundred seventy-three thousand, nine hundred ninety-two".