4199827968 has 800 divisors, whose sum is σ = 16256173824. Its totient is φ = 1051066368.

The previous prime is 4199827943. The next prime is 4199827981. The reversal of 4199827968 is 8697289914.

4199827968 is a `hidden beast` number, since 419 + 98 + 2 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113508846 + ... + 113508882.

Almost surely, 2^4199827968 is an apocalyptic number.

4199827968 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 4199827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

4199827968 is an abundant number, since it is smaller than the sum of its proper divisors (12056345856).

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

4199827968 is a wasteful number, since it uses less digits than its factorization.

4199827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 4199827968 is about 64806.0797147922. The cubic root of 4199827968 is about 1613.4066170447.

The spelling of 4199827968 in words is "four billion, one hundred ninety-nine million, eight hundred twenty-seven thousand, nine hundred sixty-eight".