27640969424640 has 2304 divisors, whose sum is σ = 123067297382400. Its totient is φ = 5819404124160.

The previous prime is 27640969424639. The next prime is 27640969424689. The reversal of 27640969424640 is 4642496904672.

It is a happy number.

27640969424640 is a `hidden beast` number, since 2 + 7 + 6 + 40 + 96 + 9 + 42 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10165857201 + ... + 10165859919.

It is an arithmetic number, because the mean of its divisors is an integer number (53414625600).

Almost surely, 2^{27640969424640} is an apocalyptic number.

27640969424640 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 27640969424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61533648691200).

27640969424640 is an abundant number, since it is smaller than the sum of its proper divisors (95426327957760).

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

27640969424640 is a wasteful number, since it uses less digits than its factorization.

27640969424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 27640969424640 in words is "twenty-seven trillion, six hundred forty billion, nine hundred sixty-nine million, four hundred twenty-four thousand, six hundred forty".