1764672064 has 63 divisors (see below), whose sum is σ = 3602602777. Its totient is φ = 857635328.

The previous prime is 1764672031. The next prime is 1764672089. The reversal of 1764672064 is 4602764671.

The square root of 1764672064 is 42008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 338854464 + 1425817600 = 18408^2 + 37760^2 .

It is a super-3 number, since 3×1764672064³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1764672064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19827732 + ... + 19827820.

Almost surely, 2^1764672064 is an apocalyptic number.

1764672064 is the 42008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1764672064

1764672064 is an abundant number, since it is smaller than the sum of its proper divisors (1837930713).

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

1764672064 is an frugal number, since it uses more digits than its factorization.

1764672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The cubic root of 1764672064 is about 1208.4295506143.

The spelling of 1764672064 in words is "one billion, seven hundred sixty-four million, six hundred seventy-two thousand, sixty-four".