1074704007168 has 360 divisors, whose sum is σ = 3430122958080. Its totient is φ = 321507164160.

The previous prime is 1074704007133. The next prime is 1074704007187. The reversal of 1074704007168 is 8617004074701.

1074704007168 is a `hidden beast` number, since 10 + 7 + 4 + 70 + 400 + 7 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128135071 + ... + 128143457.

It is an arithmetic number, because the mean of its divisors is an integer number (9528119328).

Almost surely, 2^{1074704007168} is an apocalyptic number.

1074704007168 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 1074704007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715061479040).

1074704007168 is an abundant number, since it is smaller than the sum of its proper divisors (2355418950912).

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

1074704007168 is an equidigital number, since it uses as much as digits as its factorization.

1074704007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1074704007168 in words is "one trillion, seventy-four billion, seven hundred four million, seven thousand, one hundred sixty-eight".