27933793680 has 240 divisors, whose sum is σ = 94082121216. Its totient is φ = 6853017600.

The previous prime is 27933793633. The next prime is 27933793747. The reversal of 27933793680 is 8639733972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 27933793680.

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, 14316705 + ... + 14318655.

Almost surely, 2^27933793680 is an apocalyptic number.

27933793680 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 27933793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47041060608).

27933793680 is an abundant number, since it is smaller than the sum of its proper divisors (66148327536).

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

27933793680 is a wasteful number, since it uses less digits than its factorization.

27933793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 57.

The spelling of 27933793680 in words is "twenty-seven billion, nine hundred thirty-three million, seven hundred ninety-three thousand, six hundred eighty".