7638505875 has 768 divisors, whose sum is σ = 21511526400. Its totient is φ = 2612736000.

The previous prime is 7638505801. The next prime is 7638505877. The reversal of 7638505875 is 5785058367.

7638505875 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 50 + 587 + 5 = 666.

It is not a de Polignac number, because 7638505875 - 2⁸ = 7638505619 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638505877) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 402026616 + ... + 402026634.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 2^7638505875 is an apocalyptic number.

7638505875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7638505875 is an abundant number, since it is smaller than the sum of its proper divisors (13873020525).

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

7638505875 is a wasteful number, since it uses less digits than its factorization.

7638505875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The square root of 7638505875 is about 87398.5461835607. The cubic root of 7638505875 is about 1969.4100009397.

The spelling of 7638505875 in words is "seven billion, six hundred thirty-eight million, five hundred five thousand, eight hundred seventy-five".