1764864320 has 56 divisors (see below), whose sum is σ = 4207767048. Its totient is φ = 705075200.

The previous prime is 1764864289. The next prime is 1764864329. The reversal of 1764864320 is 234684671.

It can be written as a sum of positive squares in 4 ways, for example, as 216913984 + 1547950336 = 14728^2 + 39344^2 .

It is a super-2 number, since 2×1764864320² = 6229492136018124800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764864329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298190 + ... + 304050.

Almost surely, 2^1764864320 is an apocalyptic number.

1764864320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1764864320 is an abundant number, since it is smaller than the sum of its proper divisors (2442902728).

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

1764864320 is an equidigital number, since it uses as much as digits as its factorization.

1764864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 1764864320 is about 42010.2882637099. The cubic root of 1764864320 is about 1208.4734340077.

The spelling of 1764864320 in words is "one billion, seven hundred sixty-four million, eight hundred sixty-four thousand, three hundred twenty".