2768674642800 has 240 divisors, whose sum is σ = 9936754637952. Its totient is φ = 653053363200.

The previous prime is 2768674642793. The next prime is 2768674642829. The reversal of 2768674642800 is 82464768672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2346034 + ... + 3322833.

Almost surely, 2^{2768674642800} is an apocalyptic number.

2768674642800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768674642800 is an abundant number, since it is smaller than the sum of its proper divisors (7168079995152).

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

2768674642800 is a wasteful number, since it uses less digits than its factorization.

2768674642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668936 (or 5668925 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 2768674642800 in words is "two trillion, seven hundred sixty-eight billion, six hundred seventy-four million, six hundred forty-two thousand, eight hundred".