1764890064 has 120 divisors (see below), whose sum is σ = 5737585152. Its totient is φ = 495970560.

The previous prime is 1764890063. The next prime is 1764890093. The reversal of 1764890064 is 4600984671.

It is a super-2 number, since 2×1764890064² = 6229673876011848192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764890063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47137 + ... + 75839.

Almost surely, 2^1764890064 is an apocalyptic number.

1764890064 is a gapful number since it is divisible by the number (14) 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 1764890064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868792576).

1764890064 is an abundant number, since it is smaller than the sum of its proper divisors (3972695088).

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

1764890064 is a wasteful number, since it uses less digits than its factorization.

1764890064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28785 (or 28776 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1764890064 is about 42010.5946637274. The cubic root of 1764890064 is about 1208.4793099625.

The spelling of 1764890064 in words is "one billion, seven hundred sixty-four million, eight hundred ninety thousand, sixty-four".