27740863962 has 96 divisors (see below), whose sum is σ = 71285760000. Its totient is φ = 7920404208.

The previous prime is 27740863961. The next prime is 27740863967. The reversal of 27740863962 is 26936804772.

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

It is a junction number, because it is equal to n+sod(n) for n = 27740863899 and 27740863908.

It is not an unprimeable number, because it can be changed into a prime (27740863961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9248539 + ... + 9251537.

It is an arithmetic number, because the mean of its divisors is an integer number (742560000).

Almost surely, 2^27740863962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27740863962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880000).

27740863962 is an abundant number, since it is smaller than the sum of its proper divisors (43544896038).

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

27740863962 is a wasteful number, since it uses less digits than its factorization.

27740863962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27740863962 in words is "twenty-seven billion, seven hundred forty million, eight hundred sixty-three thousand, nine hundred sixty-two".