7630438464 has 140 divisors (see below), whose sum is σ = 24675468048. Its totient is φ = 2312236800.

The previous prime is 7630438429. The next prime is 7630438471. The reversal of 7630438464 is 4648340367.

7630438464 is a `hidden beast` number, since 7 + 630 + 4 + 3 + 8 + 4 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9882 + ... + 123929.

Almost surely, 2^7630438464 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 7630438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337734024).

7630438464 is an abundant number, since it is smaller than the sum of its proper divisors (17045029584).

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

7630438464 is a wasteful number, since it uses less digits than its factorization.

7630438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133846 (or 133827 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 7630438464 is about 87352.3809864391. The cubic root of 7630438464 is about 1968.7164256587.

The spelling of 7630438464 in words is "seven billion, six hundred thirty million, four hundred thirty-eight thousand, four hundred sixty-four".