7474272000 has 576 divisors, whose sum is σ = 27480974976. Its totient is φ = 1789132800.

The previous prime is 7474271983. The next prime is 7474272011. The reversal of 7474272000 is 2724747.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66143944 + ... + 66144056.

It is an arithmetic number, because the mean of its divisors is an integer number (47710026).

Almost surely, 2^7474272000 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 7474272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740487488).

7474272000 is an abundant number, since it is smaller than the sum of its proper divisors (20006702976).

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

7474272000 is a wasteful number, since it uses less digits than its factorization.

7474272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 7474272000 is about 86453.8720937356. The cubic root of 7474272000 is about 1955.1929959935.

Adding to 7474272000 its reverse (2724747), we get a palindrome (7476996747).

The spelling of 7474272000 in words is "seven billion, four hundred seventy-four million, two hundred seventy-two thousand".