1764803091968 has 480 divisors, whose sum is σ = 4436457619968. Its totient is φ = 697426329600.

The previous prime is 1764803091937. The next prime is 1764803091971. The reversal of 1764803091968 is 8691903084671.

It is a super-2 number, since 2×1764803091968² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1764803091968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796835013 + ... + 2796835643.

Almost surely, 2^{1764803091968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1764803091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218228809984).

1764803091968 is an abundant number, since it is smaller than the sum of its proper divisors (2671654528000).

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

1764803091968 is a wasteful number, since it uses less digits than its factorization.

1764803091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 1764803091968 in words is "one trillion, seven hundred sixty-four billion, eight hundred three million, ninety-one thousand, nine hundred sixty-eight".