27652423680 has 1024 divisors, whose sum is σ = 120794112000. Its totient is φ = 5860491264.

The previous prime is 27652423657. The next prime is 27652423691. The reversal of 27652423680 is 8632425672.

27652423680 is a `hidden beast` number, since 27 + 6 + 524 + 23 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 588349417 + ... + 588349463.

It is an arithmetic number, because the mean of its divisors is an integer number (117963000).

Almost surely, 2^27652423680 is an apocalyptic number.

27652423680 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 27652423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397056000).

27652423680 is an abundant number, since it is smaller than the sum of its proper divisors (93141688320).

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

27652423680 is an equidigital number, since it uses as much as digits as its factorization.

27652423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27652423680 in words is "twenty-seven billion, six hundred fifty-two million, four hundred twenty-three thousand, six hundred eighty".