1076968363968 has 672 divisors, whose sum is σ = 3862737715200. Its totient is φ = 290634034176.

The previous prime is 1076968363967. The next prime is 1076968364033. The reversal of 1076968363968 is 8693638696701.

1076968363968 is a `hidden beast` number, since 1 + 0 + 76 + 96 + 83 + 6 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1076968363896 and 1076968363905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076968363967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990770721 + ... + 990771807.

It is an arithmetic number, because the mean of its divisors is an integer number (5748121600).

Almost surely, 2^{1076968363968} is an apocalyptic number.

1076968363968 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 1076968363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931368857600).

1076968363968 is an abundant number, since it is smaller than the sum of its proper divisors (2785769351232).

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

1076968363968 is a wasteful number, since it uses less digits than its factorization.

1076968363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 1076968363968 in words is "one trillion, seventy-six billion, nine hundred sixty-eight million, three hundred sixty-three thousand, nine hundred sixty-eight".