7239248640 has 720 divisors, whose sum is σ = 28794449376. Its totient is φ = 1725235200.

The previous prime is 7239248593. The next prime is 7239248657. The reversal of 7239248640 is 468429327.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55261375 + ... + 55261505.

Almost surely, 2^7239248640 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 7239248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397224688).

7239248640 is an abundant number, since it is smaller than the sum of its proper divisors (21555200736).

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

7239248640 is a wasteful number, since it uses less digits than its factorization.

7239248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7239248640 is about 85083.7742463274. The cubic root of 7239248640 is about 1934.4811300320.

The spelling of 7239248640 in words is "seven billion, two hundred thirty-nine million, two hundred forty-eight thousand, six hundred forty".