1696784080896 has 560 divisors, whose sum is σ = 5395144708800. Its totient is φ = 529567580160.

The previous prime is 1696784080891. The next prime is 1696784080963. The reversal of 1696784080896 is 6980804876961.

1696784080896 is a `hidden beast` number, since 1 + 69 + 6 + 78 + 408 + 0 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1696784080891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3936853801 + ... + 3936854231.

It is an arithmetic number, because the mean of its divisors is an integer number (9634186980).

Almost surely, 2^{1696784080896} is an apocalyptic number.

1696784080896 is a gapful number since it is divisible by the number (16) 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 1696784080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697572354400).

1696784080896 is an abundant number, since it is smaller than the sum of its proper divisors (3698360627904).

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

1696784080896 is an equidigital number, since it uses as much as digits as its factorization.

1696784080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 1696784080896 in words is "one trillion, six hundred ninety-six billion, seven hundred eighty-four million, eighty thousand, eight hundred ninety-six".