1026079630560 has 336 divisors, whose sum is σ = 3637027714320. Its totient is φ = 273431531520.

The previous prime is 1026079630553. The next prime is 1026079630601. The reversal of 1026079630560 is 650369706201.

1026079630560 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 7 + 9 + 630 + 5 + 6 + 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 272819080 + ... + 272822840.

It is an arithmetic number, because the mean of its divisors is an integer number (10824487245).

Almost surely, 2^{1026079630560} is an apocalyptic number.

1026079630560 is a gapful number since it is divisible by the number (10) 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 1026079630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818513857160).

1026079630560 is an abundant number, since it is smaller than the sum of its proper divisors (2610948083760).

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

1026079630560 is an equidigital number, since it uses as much as digits as its factorization.

1026079630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1026079630560 in words is "one trillion, twenty-six billion, seventy-nine million, six hundred thirty thousand, five hundred sixty".