27706764400 has 120 divisors (see below), whose sum is σ = 76828859424. Its totient is φ = 9405312000.

The previous prime is 27706764389. The next prime is 27706764403. The reversal of 27706764400 is 446760772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27706764403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233814 + ... + 331786.

Almost surely, 2^27706764400 is an apocalyptic number.

27706764400 is a gapful number since it is divisible by the number (20) 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 27706764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38414429712).

27706764400 is an abundant number, since it is smaller than the sum of its proper divisors (49122095024).

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

27706764400 is a wasteful number, since it uses less digits than its factorization.

27706764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98099 (or 98088 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 27706764400 in words is "twenty-seven billion, seven hundred six million, seven hundred sixty-four thousand, four hundred".