4690188672 has 256 divisors, whose sum is σ = 14021817600. Its totient is φ = 1379524608.

The previous prime is 4690188623. The next prime is 4690188691. The reversal of 4690188672 is 2768810964.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12374979 + ... + 12375357.

It is an arithmetic number, because the mean of its divisors is an integer number (54772725).

Almost surely, 2^4690188672 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 4690188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010908800).

4690188672 is an abundant number, since it is smaller than the sum of its proper divisors (9331628928).

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

4690188672 is a wasteful number, since it uses less digits than its factorization.

4690188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4690188672 is about 68484.9521573900. The cubic root of 4690188672 is about 1673.9022937139.

The spelling of 4690188672 in words is "four billion, six hundred ninety million, one hundred eighty-eight thousand, six hundred seventy-two".