7243686240 has 384 divisors, whose sum is σ = 27636940800. Its totient is φ = 1558960128.

The previous prime is 7243686223. The next prime is 7243686251. The reversal of 7243686240 is 426863427.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7243686192 and 7243686201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5177061 + ... + 5178459.

It is an arithmetic number, because the mean of its divisors is an integer number (71971200).

Almost surely, 2^7243686240 is an apocalyptic number.

7243686240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7243686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

7243686240 is an abundant number, since it is smaller than the sum of its proper divisors (20393254560).

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

7243686240 is a wasteful number, since it uses less digits than its factorization.

7243686240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 7243686240 is about 85109.8480788211. The cubic root of 7243686240 is about 1934.8763229781.

The spelling of 7243686240 in words is "seven billion, two hundred forty-three million, six hundred eighty-six thousand, two hundred forty".