4213773648 has 240 divisors, whose sum is σ = 14006294016. Its totient is φ = 1157587200.

The previous prime is 4213773637. The next prime is 4213773661. The reversal of 4213773648 is 8463773124.

4213773648 is a `hidden beast` number, since 4 + 213 + 77 + 364 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903323 + ... + 2904773.

Almost surely, 2^4213773648 is an apocalyptic number.

4213773648 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 4213773648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003147008).

4213773648 is an abundant number, since it is smaller than the sum of its proper divisors (9792520368).

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

4213773648 is a wasteful number, since it uses less digits than its factorization.

4213773648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1573 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4213773648 is about 64913.5860047802. The cubic root of 4213773648 is about 1615.1904356776.

The spelling of 4213773648 in words is "four billion, two hundred thirteen million, seven hundred seventy-three thousand, six hundred forty-eight".