2079664483680 has 576 divisors, whose sum is σ = 8284579430400. Its totient is φ = 474871735296.

The previous prime is 2079664483669. The next prime is 2079664483703. The reversal of 2079664483680 is 863844669702.

2079664483680 is a `hidden beast` number, since 2 + 0 + 7 + 96 + 6 + 4 + 483 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773971297 + ... + 773973983.

It is an arithmetic number, because the mean of its divisors is an integer number (14382950400).

Almost surely, 2^{2079664483680} is an apocalyptic number.

2079664483680 is a gapful number since it is divisible by the number (20) 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 2079664483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142289715200).

2079664483680 is an abundant number, since it is smaller than the sum of its proper divisors (6204914946720).

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

2079664483680 is a wasteful number, since it uses less digits than its factorization.

2079664483680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 2079664483680 in words is "two trillion, seventy-nine billion, six hundred sixty-four million, four hundred eighty-three thousand, six hundred eighty".