4192006608 has 260 divisors, whose sum is σ = 13344475140. Its totient is φ = 1269789696.

The previous prime is 4192006601. The next prime is 4192006633. The reversal of 4192006608 is 8066002914.

4192006608 is a `hidden beast` number, since 41 + 9 + 2 + 0 + 0 + 6 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2754990144 + 1437016464 = 52488^2 + 37908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192006601) 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 51 ways as a sum of consecutive naturals, for example, 144551938 + ... + 144551966.

Almost surely, 2^4192006608 is an apocalyptic number.

4192006608 is a gapful number since it is divisible by the number (48) 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 4192006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672237570).

4192006608 is an abundant number, since it is smaller than the sum of its proper divisors (9152468532).

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

4192006608 is an frugal number, since it uses more digits than its factorization.

4192006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4192006608 is about 64745.7072553849. The cubic root of 4192006608 is about 1612.4044430124.

The spelling of 4192006608 in words is "four billion, one hundred ninety-two million, six thousand, six hundred eight".