27731652480 has 320 divisors, whose sum is σ = 113184038880. Its totient is φ = 6338580480.

The previous prime is 27731652467. The next prime is 27731652503. The reversal of 27731652480 is 8425613772.

27731652480 is a `hidden beast` number, since 2 + 7 + 7 + 3 + 165 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 324670 + ... + 401090.

Almost surely, 2^27731652480 is an apocalyptic number.

27731652480 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 27731652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56592019440).

27731652480 is an abundant number, since it is smaller than the sum of its proper divisors (85452386400).

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

27731652480 is an equidigital number, since it uses as much as digits as its factorization.

27731652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76459 (or 76438 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27731652480 in words is "twenty-seven billion, seven hundred thirty-one million, six hundred fifty-two thousand, four hundred eighty".