7638521375001 has 32 divisors (see below), whose sum is σ = 11372244480000. Its totient is φ = 4520817351680.

The previous prime is 7638521374969. The next prime is 7638521375021. The reversal of 7638521375001 is 1005731258367.

It is a cyclic number.

It is not a de Polignac number, because 7638521375001 - 2⁵ = 7638521374969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7638521375021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4787901 + ... + 6180698.

It is an arithmetic number, because the mean of its divisors is an integer number (355382640000).

Almost surely, 2^{7638521375001} is an apocalyptic number.

It is an amenable number.

7638521375001 is a deficient number, since it is larger than the sum of its proper divisors (3733723104999).

7638521375001 is a wasteful number, since it uses less digits than its factorization.

7638521375001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969109.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 7638521375001 in words is "seven trillion, six hundred thirty-eight billion, five hundred twenty-one million, three hundred seventy-five thousand, one".