27635019342 has 64 divisors (see below), whose sum is σ = 65035643904. Its totient is φ = 7663944960.

The previous prime is 27635019331. The next prime is 27635019431. The reversal of 27635019342 is 24391053672.

It is a super-2 number, since 2×27635019342² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27635019294 and 27635019303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298503 + ... + 379965.

It is an arithmetic number, because the mean of its divisors is an integer number (1016181936).

Almost surely, 2^27635019342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27635019342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32517821952).

27635019342 is an abundant number, since it is smaller than the sum of its proper divisors (37400624562).

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

27635019342 is a wasteful number, since it uses less digits than its factorization.

27635019342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81713.

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 27635019342 in words is "twenty-seven billion, six hundred thirty-five million, nineteen thousand, three hundred forty-two".