4464004644 has 144 divisors (see below), whose sum is σ = 12575070144. Its totient is φ = 1323820800.

The previous prime is 4464004637. The next prime is 4464004651.

4464004644 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 0 + 0 + 4 + 644 = 666.

4464004644 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4464004637) and next prime (4464004651).

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 = 4464004599 and 4464004608.

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, 6835822 + ... + 6836474.

It is an arithmetic number, because the mean of its divisors is an integer number (87326876).

Almost surely, 2^4464004644 is an apocalyptic number.

4464004644 is a gapful number since it is divisible by the number (44) 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 4464004644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287535072).

4464004644 is an abundant number, since it is smaller than the sum of its proper divisors (8111065500).

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

4464004644 is a wasteful number, since it uses less digits than its factorization.

4464004644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4464004644 is about 66813.2071075772. The cubic root of 4464004644 is about 1646.5498331184.

The spelling of 4464004644 in words is "four billion, four hundred sixty-four million, four thousand, six hundred forty-four".