2726808062400 has 1344 divisors, whose sum is σ = 10653287669760. Its totient is φ = 677221171200.

The previous prime is 2726808062387. The next prime is 2726808062449. The reversal of 2726808062400 is 42608086272.

2726808062400 is a `hidden beast` number, since 272 + 68 + 0 + 80 + 6 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5599194957 + ... + 5599195443.

Almost surely, 2^{2726808062400} is an apocalyptic number.

2726808062400 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 2726808062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326643834880).

2726808062400 is an abundant number, since it is smaller than the sum of its proper divisors (7926479607360).

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

2726808062400 is a wasteful number, since it uses less digits than its factorization.

2726808062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2726808062400 in words is "two trillion, seven hundred twenty-six billion, eight hundred eight million, sixty-two thousand, four hundred".