7638478128 has 30 divisors (see below), whose sum is σ = 21377130164. Its totient is φ = 2546159328.

The previous prime is 7638478093. The next prime is 7638478147. The reversal of 7638478128 is 8218748367.

It is a happy number.

7638478128 is a `hidden beast` number, since 76 + 384 + 78 + 128 = 666.

It is a super-2 number, since 2×7638478128² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26522350 + ... + 26522637.

Almost surely, 2^7638478128 is an apocalyptic number.

It is an amenable number.

7638478128 is an abundant number, since it is smaller than the sum of its proper divisors (13738652036).

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

7638478128 is a wasteful number, since it uses less digits than its factorization.

7638478128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53045001 (or 53044992 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 7638478128 is about 87398.3874450782. The cubic root of 7638478128 is about 1969.4076162986.

The spelling of 7638478128 in words is "seven billion, six hundred thirty-eight million, four hundred seventy-eight thousand, one hundred twenty-eight".