1079628799068 has 144 divisors (see below), whose sum is σ = 2897099805600. Its totient is φ = 338051543040.

The previous prime is 1079628799057. The next prime is 1079628799069. The reversal of 1079628799068 is 8609978269701.

It is a junction number, because it is equal to n+sod(n) for n = 1079628798987 and 1079628799005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079628799069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38394598 + ... + 38422706.

It is an arithmetic number, because the mean of its divisors is an integer number (20118748650).

Almost surely, 2^{1079628799068} is an apocalyptic number.

1079628799068 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 1079628799068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448549902800).

1079628799068 is an abundant number, since it is smaller than the sum of its proper divisors (1817471006532).

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

1079628799068 is a wasteful number, since it uses less digits than its factorization.

1079628799068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 1079628799068 in words is "one trillion, seventy-nine billion, six hundred twenty-eight million, seven hundred ninety-nine thousand, sixty-eight".