27645252480 has 128 divisors (see below), whose sum is σ = 97910330400. Its totient is φ = 7372062720.

The previous prime is 27645252413. The next prime is 27645252487. The reversal of 27645252480 is 8425254672.

27645252480 is a `hidden beast` number, since 2 + 7 + 6 + 45 + 2 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27645252487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782641 + ... + 817200.

Almost surely, 2^27645252480 is an apocalyptic number.

27645252480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27645252480 is an abundant number, since it is smaller than the sum of its proper divisors (70265077920).

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

27645252480 is a wasteful number, since it uses less digits than its factorization.

27645252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599869 (or 1599851 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 27645252480 in words is "twenty-seven billion, six hundred forty-five million, two hundred fifty-two thousand, four hundred eighty".