27906768000 has 640 divisors, whose sum is σ = 105644064240. Its totient is φ = 7299072000.

The previous prime is 27906767969. The next prime is 27906768007. The reversal of 27906768000 is 86760972.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 792535104 + 27114232896 = 28152^2 + 164664^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (27906768007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79055824 + ... + 79056176.

Almost surely, 2^27906768000 is an apocalyptic number.

27906768000 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 27906768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822032120).

27906768000 is an abundant number, since it is smaller than the sum of its proper divisors (77737296240).

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

27906768000 is an equidigital number, since it uses as much as digits as its factorization.

27906768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27906768000 in words is "twenty-seven billion, nine hundred six million, seven hundred sixty-eight thousand".