7444627820 has 144 divisors (see below), whose sum is σ = 18535765248. Its totient is φ = 2503912320.

The previous prime is 7444627807. The next prime is 7444627829. The reversal of 7444627820 is 287264447.

It is not an unprimeable number, because it can be changed into a prime (7444627829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13222859 + ... + 13223421.

It is an arithmetic number, because the mean of its divisors is an integer number (128720592).

Almost surely, 2^7444627820 is an apocalyptic number.

7444627820 is a gapful number since it is divisible by the number (70) 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 7444627820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267882624).

7444627820 is an abundant number, since it is smaller than the sum of its proper divisors (11091137428).

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

7444627820 is a wasteful number, since it uses less digits than its factorization.

7444627820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 44.

The square root of 7444627820 is about 86282.2566927871. The cubic root of 7444627820 is about 1952.6046998230.

It can be divided in two parts, 7444627 and 820, that added together give a palindrome (7445447).

The spelling of 7444627820 in words is "seven billion, four hundred forty-four million, six hundred twenty-seven thousand, eight hundred twenty".