1026238076064 has 192 divisors, whose sum is σ = 3049362288000. Its totient is φ = 335680911360.

The previous prime is 1026238075979. The next prime is 1026238076111. The reversal of 1026238076064 is 4606708326201.

1026238076064 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 38 + 0 + 7 + 606 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 28987654 + ... + 29023034.

It is an arithmetic number, because the mean of its divisors is an integer number (15882095250).

Almost surely, 2^{1026238076064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026238076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524681144000).

1026238076064 is an abundant number, since it is smaller than the sum of its proper divisors (2023124211936).

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

1026238076064 is a wasteful number, since it uses less digits than its factorization.

1026238076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36028 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1026238076064 in words is "one trillion, twenty-six billion, two hundred thirty-eight million, seventy-six thousand, sixty-four".