1764564480 has 480 divisors, whose sum is σ = 7305202080. Its totient is φ = 402554880.

The previous prime is 1764564433. The next prime is 1764564493. The reversal of 1764564480 is 844654671.

1764564480 is a `hidden beast` number, since 1 + 7 + 6 + 4 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1764564480² = 6227375608155340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386620 + ... + 3387140.

It is an arithmetic number, because the mean of its divisors is an integer number (15219171).

Almost surely, 2^1764564480 is an apocalyptic number.

1764564480 is a gapful number since it is divisible by the number (10) 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 1764564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652601040).

1764564480 is an abundant number, since it is smaller than the sum of its proper divisors (5540637600).

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

1764564480 is an equidigital number, since it uses as much as digits as its factorization.

1764564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1764564480 is about 42006.7194624860. The cubic root of 1764564480 is about 1208.4049926375.

The spelling of 1764564480 in words is "one billion, seven hundred sixty-four million, five hundred sixty-four thousand, four hundred eighty".