1026730694304 has 480 divisors, whose sum is σ = 3524182421760. Its totient is φ = 287192936448.

The previous prime is 1026730694273. The next prime is 1026730694323. The reversal of 1026730694304 is 4034960376201.

1026730694304 is a `hidden beast` number, since 10 + 26 + 7 + 306 + 9 + 4 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1026730694304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166322962 + ... + 166329134.

It is an arithmetic number, because the mean of its divisors is an integer number (7342046712).

Almost surely, 2^{1026730694304} is an apocalyptic number.

1026730694304 is a gapful number since it is divisible by the number (14) 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 1026730694304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762091210880).

1026730694304 is an abundant number, since it is smaller than the sum of its proper divisors (2497451727456).

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

1026730694304 is a wasteful number, since it uses less digits than its factorization.

1026730694304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1026730694304 in words is "one trillion, twenty-six billion, seven hundred thirty million, six hundred ninety-four thousand, three hundred four".