2826368100864 has 1440 divisors, whose sum is σ = 10933223228928. Its totient is φ = 708126105600.

The previous prime is 2826368100847. The next prime is 2826368100877. The reversal of 2826368100864 is 4680018636282.

It is a super-3 number, since 3×2826368100864³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2826368100864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9206410599 + ... + 9206410905.

Almost surely, 2^{2826368100864} is an apocalyptic number.

2826368100864 is a gapful number since it is divisible by the number (24) 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 2826368100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466611614464).

2826368100864 is an abundant number, since it is smaller than the sum of its proper divisors (8106855128064).

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

2826368100864 is an equidigital number, since it uses as much as digits as its factorization.

2826368100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2826368100864 in words is "two trillion, eight hundred twenty-six billion, three hundred sixty-eight million, one hundred thousand, eight hundred sixty-four".