1712633664 has 112 divisors (see below), whose sum is σ = 5188151168. Its totient is φ = 488429568.

The previous prime is 1712633641. The next prime is 1712633687. The reversal of 1712633664 is 4663362171.

It is an interprime number because it is at equal distance from previous prime (1712633641) and next prime (1712633687).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1712633664² = 5866228134132129792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1177962 + ... + 1179414.

Almost surely, 2^1712633664 is an apocalyptic number.

1712633664 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 1712633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594075584).

1712633664 is an abundant number, since it is smaller than the sum of its proper divisors (3475517504).

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

1712633664 is a wasteful number, since it uses less digits than its factorization.

1712633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2342 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 1712633664 is about 41383.9783491148. The cubic root of 1712633664 is about 1196.4323817054.

The spelling of 1712633664 in words is "one billion, seven hundred twelve million, six hundred thirty-three thousand, six hundred sixty-four".