27969770400 has 432 divisors, whose sum is σ = 107562803040. Its totient is φ = 6257971200.

The previous prime is 27969770371. The next prime is 27969770419. The reversal of 27969770400 is 407796972.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4458466 + ... + 4464734.

It is an arithmetic number, because the mean of its divisors is an integer number (248987970).

Almost surely, 2^27969770400 is an apocalyptic number.

27969770400 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 27969770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781401520).

27969770400 is an abundant number, since it is smaller than the sum of its proper divisors (79593032640).

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

27969770400 is a wasteful number, since it uses less digits than its factorization.

27969770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 27969770400 in words is "twenty-seven billion, nine hundred sixty-nine million, seven hundred seventy thousand, four hundred".