7038240000 has 720 divisors, whose sum is σ = 26972166144. Its totient is φ = 1612800000.

The previous prime is 7038239987. The next prime is 7038240007. The reversal of 7038240000 is 428307.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7038240007) 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, 163679979 + ... + 163680021.

Almost surely, 2^7038240000 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 7038240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486083072).

7038240000 is an abundant number, since it is smaller than the sum of its proper divisors (19933926144).

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

7038240000 is a wasteful number, since it uses less digits than its factorization.

7038240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7038240000 is about 83894.2191095429. The cubic root of 7038240000 is about 1916.4082155185.

Adding to 7038240000 its reverse (428307), we get a palindrome (7038668307).

The spelling of 7038240000 in words is "seven billion, thirty-eight million, two hundred forty thousand".