7484742144 has 280 divisors, whose sum is σ = 24473826432. Its totient is φ = 2266859520.

The previous prime is 7484742119. The next prime is 7484742163. The reversal of 7484742144 is 4412474847.

It is a self number, because there is not a number n which added to its sum of digits gives 7484742144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4104817 + ... + 4106639.

Almost surely, 2^7484742144 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 7484742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236913216).

7484742144 is an abundant number, since it is smaller than the sum of its proper divisors (16989084288).

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

7484742144 is an equidigital number, since it uses as much as digits as its factorization.

7484742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1839 counting only the distinct ones).

The product of its digits is 802816, while the sum is 45.

The square root of 7484742144 is about 86514.4042573258. The cubic root of 7484742144 is about 1956.1055308338.

The spelling of 7484742144 in words is "seven billion, four hundred eighty-four million, seven hundred forty-two thousand, one hundred forty-four".