7634137686 has 128 divisors (see below), whose sum is σ = 18393661440. Its totient is φ = 2066601600.

The previous prime is 7634137619. The next prime is 7634137711. The reversal of 7634137686 is 6867314367.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 24866745 + ... + 24867051.

It is an arithmetic number, because the mean of its divisors is an integer number (143700480).

Almost surely, 2^7634137686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7634137686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196830720).

7634137686 is an abundant number, since it is smaller than the sum of its proper divisors (10759523754).

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

7634137686 is a wasteful number, since it uses less digits than its factorization.

7634137686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690.

The product of its digits is 3048192, while the sum is 51.

The square root of 7634137686 is about 87373.5525545345. The cubic root of 7634137686 is about 1969.0345175824.

The spelling of 7634137686 in words is "seven billion, six hundred thirty-four million, one hundred thirty-seven thousand, six hundred eighty-six".