27795946680 has 192 divisors, whose sum is σ = 94362840000. Its totient is φ = 7086901248.

The previous prime is 27795946643. The next prime is 27795946681. The reversal of 27795946680 is 8664959772.

27795946680 is a `hidden beast` number, since 2 + 7 + 7 + 95 + 9 + 466 + 80 = 666.

It is a super-2 number, since 2×27795946680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27795946681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062396 + ... + 1088244.

It is an arithmetic number, because the mean of its divisors is an integer number (491473125).

Almost surely, 2^27795946680 is an apocalyptic number.

27795946680 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 27795946680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47181420000).

27795946680 is an abundant number, since it is smaller than the sum of its proper divisors (66566893320).

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

27795946680 is a wasteful number, since it uses less digits than its factorization.

27795946680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25998 (or 25991 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27795946680 in words is "twenty-seven billion, seven hundred ninety-five million, nine hundred forty-six thousand, six hundred eighty".