27791630400 has 168 divisors, whose sum is σ = 91741674784. Its totient is φ = 7365427200.

The previous prime is 27791630389. The next prime is 27791630437. The reversal of 27791630400 is 403619772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764640 + ... + 800160.

Almost surely, 2^27791630400 is an apocalyptic number.

27791630400 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 27791630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45870837392).

27791630400 is an abundant number, since it is smaller than the sum of its proper divisors (63950044384).

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

27791630400 is a wasteful number, since it uses less digits than its factorization.

27791630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35709 (or 35694 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 27791630400 in words is "twenty-seven billion, seven hundred ninety-one million, six hundred thirty thousand, four hundred".