27690805808640 has 1280 divisors, whose sum is σ = 112476601036800. Its totient is φ = 6396981018624.

The previous prime is 27690805808527. The next prime is 27690805808663. The reversal of 27690805808640 is 4680850809672.

27690805808640 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 0 + 8 + 0 + 580 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5789419689 + ... + 5789424471.

It is an arithmetic number, because the mean of its divisors is an integer number (87872344560).

Almost surely, 2^{27690805808640} is an apocalyptic number.

27690805808640 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 27690805808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56238300518400).

27690805808640 is an abundant number, since it is smaller than the sum of its proper divisors (84785795228160).

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

27690805808640 is a wasteful number, since it uses less digits than its factorization.

27690805808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 27690805808640 in words is "twenty-seven trillion, six hundred ninety billion, eight hundred five million, eight hundred eight thousand, six hundred forty".