2768451632000 has 128 divisors (see below), whose sum is σ = 7287949637280. Its totient is φ = 1042240512000.

The previous prime is 2768451631961. The next prime is 2768451632021. The reversal of 2768451632000 is 2361548672.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4817066 + ... + 5361065.

Almost surely, 2^{2768451632000} is an apocalyptic number.

2768451632000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768451632000 is an abundant number, since it is smaller than the sum of its proper divisors (4519498005280).

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

2768451632000 is a wasteful number, since it uses less digits than its factorization.

2768451632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178177 (or 10178155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 2768451632000 in words is "two trillion, seven hundred sixty-eight billion, four hundred fifty-one million, six hundred thirty-two thousand".