4190813664 has 96 divisors (see below), whose sum is σ = 11468096640. Its totient is φ = 1338355200.

The previous prime is 4190813663. The next prime is 4190813699. The reversal of 4190813664 is 4663180914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190813663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358959 + ... + 370449.

It is an arithmetic number, because the mean of its divisors is an integer number (119459340).

Almost surely, 2^4190813664 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 4190813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734048320).

4190813664 is an abundant number, since it is smaller than the sum of its proper divisors (7277282976).

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

4190813664 is a wasteful number, since it uses less digits than its factorization.

4190813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4190813664 is about 64736.4940663302. The cubic root of 4190813664 is about 1612.2514780264.

The spelling of 4190813664 in words is "four billion, one hundred ninety million, eight hundred thirteen thousand, six hundred sixty-four".