27801633342 has 32 divisors (see below), whose sum is σ = 65596483584. Its totient is φ = 7687087200.

The previous prime is 27801633329. The next prime is 27801633347. The reversal of 27801633342 is 24333610872.

It is a super-4 number, since 4×27801633342⁴ (a number of 43 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27801633342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27801633347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10675209 + ... + 10677812.

It is an arithmetic number, because the mean of its divisors is an integer number (2049890112).

Almost surely, 2^27801633342 is an apocalyptic number.

27801633342 is an abundant number, since it is smaller than the sum of its proper divisors (37794850242).

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

27801633342 is a wasteful number, since it uses less digits than its factorization.

27801633342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21353064.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 27801633342 in words is "twenty-seven billion, eight hundred one million, six hundred thirty-three thousand, three hundred forty-two".