7144740000 has 480 divisors, whose sum is σ = 26498767680. Its totient is φ = 1872000000.

The previous prime is 7144739999. The next prime is 7144740007. The reversal of 7144740000 is 474417.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144740007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54539935 + ... + 54540065.

It is an arithmetic number, because the mean of its divisors is an integer number (55205766).

Almost surely, 2^7144740000 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 7144740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249383840).

7144740000 is an abundant number, since it is smaller than the sum of its proper divisors (19354027680).

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

7144740000 is a wasteful number, since it uses less digits than its factorization.

7144740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7144740000 is about 84526.5638719568. The cubic root of 7144740000 is about 1926.0259893039.

The spelling of 7144740000 in words is "seven billion, one hundred forty-four million, seven hundred forty thousand".