4192481664 has 288 divisors, whose sum is σ = 14273223120. Its totient is φ = 1157068800.

The previous prime is 4192481659. The next prime is 4192481669. The reversal of 4192481664 is 4661842914.

It is an interprime number because it is at equal distance from previous prime (4192481659) and next prime (4192481669).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192481669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7749234 + ... + 7749774.

Almost surely, 2^4192481664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136611560).

4192481664 is an abundant number, since it is smaller than the sum of its proper divisors (10080741456).

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

4192481664 is a wasteful number, since it uses less digits than its factorization.

4192481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 584 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4192481664 is about 64749.3757807749. The cubic root of 4192481664 is about 1612.4653488858.

The spelling of 4192481664 in words is "four billion, one hundred ninety-two million, four hundred eighty-one thousand, six hundred sixty-four".