27763676640 has 960 divisors, whose sum is σ = 118421170560. Its totient is φ = 5991874560.

The previous prime is 27763676623. The next prime is 27763676651. The reversal of 27763676640 is 4667636772.

It is a happy number.

27763676640 is a `hidden beast` number, since 277 + 6 + 367 + 6 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160483594 + ... + 160483766.

It is an arithmetic number, because the mean of its divisors is an integer number (123355386).

Almost surely, 2^27763676640 is an apocalyptic number.

27763676640 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 27763676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59210585280).

27763676640 is an abundant number, since it is smaller than the sum of its proper divisors (90657493920).

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

27763676640 is a wasteful number, since it uses less digits than its factorization.

27763676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 27763676640 in words is "twenty-seven billion, seven hundred sixty-three million, six hundred seventy-six thousand, six hundred forty".