4637881620 has 144 divisors (see below), whose sum is σ = 14268513168. Its totient is φ = 1219276800.

The previous prime is 4637881609. The next prime is 4637881643. The reversal of 4637881620 is 261887364.

4637881620 is a `hidden beast` number, since 4 + 637 + 8 + 8 + 1 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 120428676 + 4517452944 = 10974^2 + 67212^2 .

It is a super-2 number, since 2×4637881620² = 43019891842267648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6126282 + ... + 6127038.

It is an arithmetic number, because the mean of its divisors is an integer number (99086897).

Almost surely, 2^4637881620 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 4637881620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134256584).

4637881620 is an abundant number, since it is smaller than the sum of its proper divisors (9630631548).

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

4637881620 is a wasteful number, since it uses less digits than its factorization.

4637881620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4637881620 is about 68101.9942439280. The cubic root of 4637881620 is about 1667.6563177492.

The spelling of 4637881620 in words is "four billion, six hundred thirty-seven million, eight hundred eighty-one thousand, six hundred twenty".