1076026560768 has 180 divisors, whose sum is σ = 3276785783040. Its totient is φ = 351043808256.

The previous prime is 1076026560751. The next prime is 1076026560779. The reversal of 1076026560768 is 8670656206701.

1076026560768 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 2 + 6 + 560 + 76 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422553 + ... + 1526631.

Almost surely, 2^{1076026560768} is an apocalyptic number.

1076026560768 is a gapful number since it is divisible by the number (18) 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 1076026560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638392891520).

1076026560768 is an abundant number, since it is smaller than the sum of its proper divisors (2200759222272).

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

1076026560768 is an equidigital number, since it uses as much as digits as its factorization.

1076026560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104154 (or 1104131 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1076026560768 in words is "one trillion, seventy-six billion, twenty-six million, five hundred sixty thousand, seven hundred sixty-eight".