1764804672 has 140 divisors (see below), whose sum is σ = 5254591980. Its totient is φ = 585667584.

The previous prime is 1764804649. The next prime is 1764804709. The reversal of 1764804672 is 2764084671.

It can be written as a sum of positive squares in 2 ways, for example, as 1154912256 + 609892416 = 33984^2 + 24696^2 .

It is a super-2 number, since 2×1764804672² = 6229071060626055168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1435354 + ... + 1436582.

Almost surely, 2^1764804672 is an apocalyptic number.

1764804672 is a gapful number since it is divisible by the number (12) 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 1764804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627295990).

1764804672 is an abundant number, since it is smaller than the sum of its proper divisors (3489787308).

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

1764804672 is a wasteful number, since it uses less digits than its factorization.

1764804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1764804672 is about 42009.5783363747. The cubic root of 1764804672 is about 1208.4598193944.

The spelling of 1764804672 in words is "one billion, seven hundred sixty-four million, eight hundred four thousand, six hundred seventy-two".