7138586367648 has 72 divisors (see below), whose sum is σ = 20306695526208. Its totient is φ = 2378785575552.

The previous prime is 7138586367629. The next prime is 7138586367701. The reversal of 7138586367648 is 8467636858317.

7138586367648 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 586 + 36 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946840 + ... + 4791767.

It is an arithmetic number, because the mean of its divisors is an integer number (282037437864).

Almost surely, 2^{7138586367648} is an apocalyptic number.

It is an amenable number.

7138586367648 is an abundant number, since it is smaller than the sum of its proper divisors (13168109158560).

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

7138586367648 is a wasteful number, since it uses less digits than its factorization.

7138586367648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741826 (or 7741815 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 7138586367648 in words is "seven trillion, one hundred thirty-eight billion, five hundred eighty-six million, three hundred sixty-seven thousand, six hundred forty-eight".