7630433040 has 320 divisors, whose sum is σ = 25105536000. Its totient is φ = 1915011072.

The previous prime is 7630433029. The next prime is 7630433053. The reversal of 7630433040 is 403340367.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7630432989 and 7630433007.

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, 51210886 + ... + 51211034.

It is an arithmetic number, because the mean of its divisors is an integer number (78454800).

Almost surely, 2^7630433040 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 7630433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552768000).

7630433040 is an abundant number, since it is smaller than the sum of its proper divisors (17475102960).

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

7630433040 is a wasteful number, since it uses less digits than its factorization.

7630433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 7630433040 is about 87352.3499397698. The cubic root of 7630433040 is about 1968.7159591796.

The spelling of 7630433040 in words is "seven billion, six hundred thirty million, four hundred thirty-three thousand, forty".