27682406400 has 312 divisors, whose sum is σ = 99857988144. Its totient is φ = 6710886400.

The previous prime is 27682406393. The next prime is 27682406407. The reversal of 27682406400 is 460428672.

It is an interprime number because it is at equal distance from previous prime (27682406393) and next prime (27682406407).

It is not an unprimeable number, because it can be changed into a prime (27682406407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2516582395 + ... + 2516582405.

Almost surely, 2^27682406400 is an apocalyptic number.

27682406400 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 27682406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49928994072).

27682406400 is an abundant number, since it is smaller than the sum of its proper divisors (72175581744).

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

27682406400 is an frugal number, since it uses more digits than its factorization.

27682406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 27682406400 in words is "twenty-seven billion, six hundred eighty-two million, four hundred six thousand, four hundred".