4612720644 has 108 divisors (see below), whose sum is σ = 13599504828. Its totient is φ = 1314432000.

The previous prime is 4612720627. The next prime is 4612720661. The reversal of 4612720644 is 4460272164.

4612720644 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 7 + 2 + 0 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (4612720627) and next prime (4612720661).

It can be written as a sum of positive squares in 2 ways, for example, as 4453960644 + 158760000 = 66738^2 + 12600^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4612720599 and 4612720608.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 704104 + ... + 710624.

It is an arithmetic number, because the mean of its divisors is an integer number (125921341).

Almost surely, 2^4612720644 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 4612720644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799752414).

4612720644 is an abundant number, since it is smaller than the sum of its proper divisors (8986784184).

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

4612720644 is a wasteful number, since it uses less digits than its factorization.

4612720644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4612720644 is about 67917.0129201808. The cubic root of 4612720644 is about 1664.6351130713.

The spelling of 4612720644 in words is "four billion, six hundred twelve million, seven hundred twenty thousand, six hundred forty-four".