27690508903680 has 1152 divisors, whose sum is σ = 113579976867840. Its totient is φ = 6257436917760.

The previous prime is 27690508903679. The next prime is 27690508903709. The reversal of 27690508903680 is 8630980509672.

27690508903680 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 0 + 508 + 90 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 13422446329 + ... + 13422448391.

It is an arithmetic number, because the mean of its divisors is an integer number (98593729920).

Almost surely, 2^{27690508903680} is an apocalyptic number.

27690508903680 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 27690508903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56789988433920).

27690508903680 is an abundant number, since it is smaller than the sum of its proper divisors (85889467964160).

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

27690508903680 is a wasteful number, since it uses less digits than its factorization.

27690508903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 27690508903680 in words is "twenty-seven trillion, six hundred ninety billion, five hundred eight million, nine hundred three thousand, six hundred eighty".