4213668600 has 288 divisors, whose sum is σ = 14775043920. Its totient is φ = 1116011520.

The previous prime is 4213668587. The next prime is 4213668623. The reversal of 4213668600 is 68663124.

4213668600 is a `hidden beast` number, since 42 + 1 + 3 + 6 + 6 + 8 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13462044 + ... + 13462356.

Almost surely, 2^4213668600 is an apocalyptic number.

4213668600 is a gapful number since it is divisible by the number (40) 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 4213668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387521960).

4213668600 is an abundant number, since it is smaller than the sum of its proper divisors (10561375320).

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

4213668600 is a wasteful number, since it uses less digits than its factorization.

4213668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4213668600 is about 64912.7768624945. The cubic root of 4213668600 is about 1615.1770135095.

The spelling of 4213668600 in words is "four billion, two hundred thirteen million, six hundred sixty-eight thousand, six hundred".