27695961762 has 128 divisors (see below), whose sum is σ = 68656896000. Its totient is φ = 7271824896.

The previous prime is 27695961739. The next prime is 27695961767. The reversal of 27695961762 is 26716959672.

It is a super-2 number, since 2×27695961762² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 27695961696 and 27695961705.

It is not an unprimeable number, because it can be changed into a prime (27695961767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5110078 + ... + 5115494.

It is an arithmetic number, because the mean of its divisors is an integer number (536382000).

Almost surely, 2^27695961762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27695961762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34328448000).

27695961762 is an abundant number, since it is smaller than the sum of its proper divisors (40960934238).

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

27695961762 is a wasteful number, since it uses less digits than its factorization.

27695961762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640.

The product of its digits is 17146080, while the sum is 60.

The spelling of 27695961762 in words is "twenty-seven billion, six hundred ninety-five million, nine hundred sixty-one thousand, seven hundred sixty-two".