4221620676 has 405 divisors, whose sum is σ = 14320031271. Its totient is φ = 1047900672.

The previous prime is 4221620653. The next prime is 4221620701. The reversal of 4221620676 is 6760261224.

The square root of 4221620676 is 64974.

It is a perfect power (a square), and thus also a powerful number.

4221620676 is a `hidden beast` number, since 4 + 2 + 21 + 620 + 6 + 7 + 6 = 666.

4221620676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 4183502400 = 6174^2 + 64680^2 .

It is a super-2 number, since 2×4221620676² = 35644162264061393952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4221620676.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 248330620 + ... + 248330636.

Almost surely, 2^4221620676 is an apocalyptic number.

4221620676 is the 64974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221620676

4221620676 is an abundant number, since it is smaller than the sum of its proper divisors (10098410595).

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

4221620676 is a wasteful number, since it uses less digits than its factorization.

4221620676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 4221620676 is about 1616.1924342164.

Multiplying 4221620676 by its sum of digits (36), we get a square (151978344336 = 389844²).

4221620676 divided by its sum of digits (36) gives a square (117267241 = 10829²).

The spelling of 4221620676 in words is "four billion, two hundred twenty-one million, six hundred twenty thousand, six hundred seventy-six".