7643042240 has 224 divisors, whose sum is σ = 19909048320. Its totient is φ = 2783657984.

The previous prime is 7643042237. The next prime is 7643042263. The reversal of 7643042240 is 422403467.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7643042197 and 7643042206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42698471 + ... + 42698649.

It is an arithmetic number, because the mean of its divisors is an integer number (88879680).

Almost surely, 2^7643042240 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 7643042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954524160).

7643042240 is an abundant number, since it is smaller than the sum of its proper divisors (12266006080).

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

7643042240 is a wasteful number, since it uses less digits than its factorization.

7643042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 7643042240 is about 87424.4945081183. The cubic root of 7643042240 is about 1969.7997889758.

The spelling of 7643042240 in words is "seven billion, six hundred forty-three million, forty-two thousand, two hundred forty".