1078963763328 has 1024 divisors, whose sum is σ = 3699965952000. Its totient is φ = 310393036800.

The previous prime is 1078963763327. The next prime is 1078963763393. The reversal of 1078963763328 is 8233673698701.

1078963763328 is a `hidden beast` number, since 107 + 89 + 63 + 76 + 3 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (1078963763321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8495777601 + ... + 8495777727.

It is an arithmetic number, because the mean of its divisors is an integer number (3613248000).

Almost surely, 2^{1078963763328} is an apocalyptic number.

1078963763328 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 1078963763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849982976000).

1078963763328 is an abundant number, since it is smaller than the sum of its proper divisors (2621002188672).

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

1078963763328 is an equidigital number, since it uses as much as digits as its factorization.

1078963763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1078963763328 in words is "one trillion, seventy-eight billion, nine hundred sixty-three million, seven hundred sixty-three thousand, three hundred twenty-eight".