7645224840 has 256 divisors, whose sum is σ = 26214451200. Its totient is φ = 1765632000.

The previous prime is 7645224827. The next prime is 7645224871. The reversal of 7645224840 is 484225467.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7645224792 and 7645224801.

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, 12720540 + ... + 12721140.

It is an arithmetic number, because the mean of its divisors is an integer number (102400200).

Almost surely, 2^7645224840 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 7645224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107225600).

7645224840 is an abundant number, since it is smaller than the sum of its proper divisors (18569226360).

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

7645224840 is a wasteful number, since it uses less digits than its factorization.

7645224840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 7645224840 is about 87436.9763887110. The cubic root of 7645224840 is about 1969.9872743473.

The spelling of 7645224840 in words is "seven billion, six hundred forty-five million, two hundred twenty-four thousand, eight hundred forty".