4213774656 has 448 divisors, whose sum is σ = 15439298560. Its totient is φ = 1097349120.

The previous prime is 4213774589. The next prime is 4213774657. The reversal of 4213774656 is 6564773124.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213774657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19970391 + ... + 19970601.

It is an arithmetic number, because the mean of its divisors is an integer number (34462720).

Almost surely, 2^4213774656 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 4213774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719649280).

4213774656 is an abundant number, since it is smaller than the sum of its proper divisors (11225523904).

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

4213774656 is a wasteful number, since it uses less digits than its factorization.

4213774656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 4213774656 is about 64913.5937689480. The cubic root of 4213774656 is about 1615.1905644704.

The spelling of 4213774656 in words is "four billion, two hundred thirteen million, seven hundred seventy-four thousand, six hundred fifty-six".