27276304436442 has 64 divisors (see below), whose sum is σ = 62131632837120. Its totient is φ = 8864738265600.

The previous prime is 27276304436431. The next prime is 27276304436453. The reversal of 27276304436442 is 24463440367272.

27276304436442 is a `hidden beast` number, since 2 + 7 + 2 + 76 + 30 + 443 + 64 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (27276304436431) and next prime (27276304436453).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 386559 + ... + 7396082.

It is an arithmetic number, because the mean of its divisors is an integer number (970806763080).

Almost surely, 2^{27276304436442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27276304436442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065816418560).

27276304436442 is an abundant number, since it is smaller than the sum of its proper divisors (34855328400678).

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

27276304436442 is a wasteful number, since it uses less digits than its factorization.

27276304436442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784276 (or 7784270 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 54.

The spelling of 27276304436442 in words is "twenty-seven trillion, two hundred seventy-six billion, three hundred four million, four hundred thirty-six thousand, four hundred forty-two".