2726498885760 has 768 divisors, whose sum is σ = 10537817472000. Its totient is φ = 645047746560.

The previous prime is 2726498885741. The next prime is 2726498885779. The reversal of 2726498885760 is 675888946272.

2726498885760 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 49 + 8 + 8 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2726498885741) and next prime (2726498885779).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345866779 + ... + 345874661.

It is an arithmetic number, because the mean of its divisors is an integer number (13721116500).

Almost surely, 2^{2726498885760} is an apocalyptic number.

2726498885760 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 2726498885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268908736000).

2726498885760 is an abundant number, since it is smaller than the sum of its proper divisors (7811318586240).

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

2726498885760 is a wasteful number, since it uses less digits than its factorization.

2726498885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 2726498885760 in words is "two trillion, seven hundred twenty-six billion, four hundred ninety-eight million, eight hundred eighty-five thousand, seven hundred sixty".