27683942400 has 1248 divisors, whose sum is σ = 117006796800. Its totient is φ = 6370099200.

The previous prime is 27683942347. The next prime is 27683942401. The reversal of 27683942400 is 424938672.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27683942401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893030385 + ... + 893030415.

Almost surely, 2^27683942400 is an apocalyptic number.

27683942400 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 27683942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58503398400).

27683942400 is an abundant number, since it is smaller than the sum of its proper divisors (89322854400).

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

27683942400 is a wasteful number, since it uses less digits than its factorization.

27683942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27683942400 in words is "twenty-seven billion, six hundred eighty-three million, nine hundred forty-two thousand, four hundred".