27478268064 has 384 divisors, whose sum is σ = 90836121600. Its totient is φ = 8022343680.

The previous prime is 27478268039. The next prime is 27478268089. The reversal of 27478268064 is 46086287472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27478268039) and next prime (27478268089).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27478268064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18453432 + ... + 18454920.

It is an arithmetic number, because the mean of its divisors is an integer number (236552400).

Almost surely, 2^27478268064 is an apocalyptic number.

27478268064 is a gapful number since it is divisible by the number (24) 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 27478268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45418060800).

27478268064 is an abundant number, since it is smaller than the sum of its proper divisors (63357853536).

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

27478268064 is a wasteful number, since it uses less digits than its factorization.

27478268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27478268064 in words is "twenty-seven billion, four hundred seventy-eight million, two hundred sixty-eight thousand, sixty-four".