7444980000 has 480 divisors, whose sum is σ = 28766041920. Its totient is φ = 1866240000.

The previous prime is 7444979999. The next prime is 7444980043. The reversal of 7444980000 is 894447.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9179595 + ... + 9180405.

It is an arithmetic number, because the mean of its divisors is an integer number (59929254).

Almost surely, 2^7444980000 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 7444980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383020960).

7444980000 is an abundant number, since it is smaller than the sum of its proper divisors (21321061920).

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

7444980000 is a wasteful number, since it uses less digits than its factorization.

7444980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7444980000 is about 86284.2975285770. The cubic root of 7444980000 is about 1952.6354896980.

It can be divided in two parts, 74449 and 80000, that added together give a square (154449 = 393²).

The spelling of 7444980000 in words is "seven billion, four hundred forty-four million, nine hundred eighty thousand".