1079643871680 has 448 divisors, whose sum is σ = 3962859199488. Its totient is φ = 246124707840.

The previous prime is 1079643871577. The next prime is 1079643871751. The reversal of 1079643871680 is 861783469701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320082474 + ... + 320085846.

It is an arithmetic number, because the mean of its divisors is an integer number (8845667856).

Almost surely, 2^{1079643871680} is an apocalyptic number.

1079643871680 is a gapful number since it is divisible by the number (10) 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 1079643871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981429599744).

1079643871680 is an abundant number, since it is smaller than the sum of its proper divisors (2883215327808).

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

1079643871680 is a wasteful number, since it uses less digits than its factorization.

1079643871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 1079643871680 in words is "one trillion, seventy-nine billion, six hundred forty-three million, eight hundred seventy-one thousand, six hundred eighty".