1696986353664 has 832 divisors, whose sum is σ = 5987162304000. Its totient is φ = 464734126080.

The previous prime is 1696986353659. The next prime is 1696986353707. The reversal of 1696986353664 is 4663536896961.

1696986353664 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 9 + 86 + 3 + 536 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1696986353592 and 1696986353601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6039097204 + ... + 6039097484.

Almost surely, 2^{1696986353664} is an apocalyptic number.

1696986353664 is a gapful number since it is divisible by the number (14) 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 1696986353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993581152000).

1696986353664 is an abundant number, since it is smaller than the sum of its proper divisors (4290175950336).

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

1696986353664 is a wasteful number, since it uses less digits than its factorization.

1696986353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 591 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 1696986353664 in words is "one trillion, six hundred ninety-six billion, nine hundred eighty-six million, three hundred fifty-three thousand, six hundred sixty-four".