7290144736 has 72 divisors (see below), whose sum is σ = 16771406400. Its totient is φ = 3110188032.

The previous prime is 7290144733. The next prime is 7290144773. The reversal of 7290144736 is 6374410927.

It is a junction number, because it is equal to n+sod(n) for n = 7290144692 and 7290144701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7290144733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339240 + ... + 360088.

It is an arithmetic number, because the mean of its divisors is an integer number (232936200).

Almost surely, 2^7290144736 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 7290144736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385703200).

7290144736 is an abundant number, since it is smaller than the sum of its proper divisors (9481261664).

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

7290144736 is a wasteful number, since it uses less digits than its factorization.

7290144736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21096 (or 21081 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 7290144736 is about 85382.3444044493. The cubic root of 7290144736 is about 1939.0040532178.

The spelling of 7290144736 in words is "seven billion, two hundred ninety million, one hundred forty-four thousand, seven hundred thirty-six".