7632638257 has 12 divisors (see below), whose sum is σ = 8534771920. Its totient is φ = 6805567296.

The previous prime is 7632638231. The next prime is 7632638261. The reversal of 7632638257 is 7528362367.

It is not a de Polignac number, because 7632638257 - 2²⁷ = 7498420529 is a prime.

It is a super-4 number, since 4×7632638257⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7632638257.

It is not an unprimeable number, because it can be changed into a prime (7632638227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689523 + ... + 700504.

Almost surely, 2^7632638257 is an apocalyptic number.

It is an amenable number.

7632638257 is a deficient number, since it is larger than the sum of its proper divisors (902133663).

7632638257 is a wasteful number, since it uses less digits than its factorization.

7632638257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390080 (or 1390063 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The square root of 7632638257 is about 87364.9715675568. The cubic root of 7632638257 is about 1968.9055957623.

The spelling of 7632638257 in words is "seven billion, six hundred thirty-two million, six hundred thirty-eight thousand, two hundred fifty-seven".