10180001664 has 288 divisors, whose sum is σ = 35562842640. Its totient is φ = 2781757440.

The previous prime is 10180001647. The next prime is 10180001677. The reversal of 10180001664 is 46610008101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1294384 + ... + 1302224.

Almost surely, 2^10180001664 is an apocalyptic number.

10180001664 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 10180001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781421320).

10180001664 is an abundant number, since it is smaller than the sum of its proper divisors (25382840976).

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

10180001664 is a wasteful number, since it uses less digits than its factorization.

10180001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10180001664 its product of nonzero digits (1152), we get a square (10180002816 = 100896²).

Adding to 10180001664 its reverse (46610008101), we get a palindrome (56790009765).

The spelling of 10180001664 in words is "ten billion, one hundred eighty million, one thousand, six hundred sixty-four".