7445730240 has 336 divisors, whose sum is σ = 27978664896. Its totient is φ = 1806336000.

The previous prime is 7445730233. The next prime is 7445730247. The reversal of 7445730240 is 420375447.

7445730240 is a `hidden beast` number, since 7 + 44 + 573 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7445730233) and next prime (7445730247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7445730195 and 7445730204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7445730247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2656840 + ... + 2659640.

It is an arithmetic number, because the mean of its divisors is an integer number (83269836).

Almost surely, 2^7445730240 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 7445730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989332448).

7445730240 is an abundant number, since it is smaller than the sum of its proper divisors (20532934656).

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

7445730240 is a wasteful number, since it uses less digits than its factorization.

7445730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 7445730240 is about 86288.6449076586. The cubic root of 7445730240 is about 1952.7010773398.

The spelling of 7445730240 in words is "seven billion, four hundred forty-five million, seven hundred thirty thousand, two hundred forty".