1079821464680 has 128 divisors (see below), whose sum is σ = 2873763878400. Its totient is φ = 357292336128.

The previous prime is 1079821464661. The next prime is 1079821464697. The reversal of 1079821464680 is 864641289701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18134717 + ... + 18194163.

It is an arithmetic number, because the mean of its divisors is an integer number (22451280300).

Almost surely, 2^{1079821464680} is an apocalyptic number.

1079821464680 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 1079821464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436881939200).

1079821464680 is an abundant number, since it is smaller than the sum of its proper divisors (1793942413720).

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

1079821464680 is a wasteful number, since it uses less digits than its factorization.

1079821464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61731 (or 61727 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 1079821464680 in words is "one trillion, seventy-nine billion, eight hundred twenty-one million, four hundred sixty-four thousand, six hundred eighty".