2016949207680 has 768 divisors, whose sum is σ = 8096797013760. Its totient is φ = 457225666560.

The previous prime is 2016949207657. The next prime is 2016949207681. The reversal of 2016949207680 is 867029496102.

2016949207680 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 9 + 492 + 0 + 76 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (2016949207681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169101877 + ... + 169113803.

It is an arithmetic number, because the mean of its divisors is an integer number (10542704445).

Almost surely, 2^{2016949207680} is an apocalyptic number.

2016949207680 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 2016949207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048398506880).

2016949207680 is an abundant number, since it is smaller than the sum of its proper divisors (6079847806080).

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

2016949207680 is a wasteful number, since it uses less digits than its factorization.

2016949207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2016949207680 in words is "two trillion, sixteen billion, nine hundred forty-nine million, two hundred seven thousand, six hundred eighty".