27977642352 has 800 divisors, whose sum is σ = 98522265600. Its totient is φ = 7576934400.

The previous prime is 27977642327. The next prime is 27977642353. The reversal of 27977642352 is 25324677972.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27977642353) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 474197299 + ... + 474197357.

It is an arithmetic number, because the mean of its divisors is an integer number (123152832).

Almost surely, 2^27977642352 is an apocalyptic number.

27977642352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27977642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49261132800).

27977642352 is an abundant number, since it is smaller than the sum of its proper divisors (70544623248).

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

27977642352 is a wasteful number, since it uses less digits than its factorization.

27977642352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 27977642352 in words is "twenty-seven billion, nine hundred seventy-seven million, six hundred forty-two thousand, three hundred fifty-two".