2688620774400 has 3168 divisors, whose sum is σ = 12056058362880. Its totient is φ = 583925760000.

The previous prime is 2688620774381. The next prime is 2688620774467. The reversal of 2688620774400 is 44770268862.

It is a happy number.

2688620774400 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 620 + 7 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 44075750370 + ... + 44075750430.

Almost surely, 2^{2688620774400} is an apocalyptic number.

2688620774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688620774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028029181440).

2688620774400 is an abundant number, since it is smaller than the sum of its proper divisors (9367437588480).

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

2688620774400 is a wasteful number, since it uses less digits than its factorization.

2688620774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2688620774400 in words is "two trillion, six hundred eighty-eight billion, six hundred twenty million, seven hundred seventy-four thousand, four hundred".