27316628640 has 288 divisors, whose sum is σ = 106667922816. Its totient is φ = 6236006400.

The previous prime is 27316628623. The next prime is 27316628659. The reversal of 27316628640 is 4682661372.

27316628640 is a `hidden beast` number, since 2 + 7 + 3 + 16 + 628 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13113039 + ... + 13115121.

It is an arithmetic number, because the mean of its divisors is an integer number (370374732).

Almost surely, 2^27316628640 is an apocalyptic number.

27316628640 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 27316628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53333961408).

27316628640 is an abundant number, since it is smaller than the sum of its proper divisors (79351294176).

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

27316628640 is a wasteful number, since it uses less digits than its factorization.

27316628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3401 counting only the distinct ones).

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

The spelling of 27316628640 in words is "twenty-seven billion, three hundred sixteen million, six hundred twenty-eight thousand, six hundred forty".