27625328640 has 1248 divisors, whose sum is σ = 124222215936. Its totient is φ = 5733089280.

The previous prime is 27625328581. The next prime is 27625328659. The reversal of 27625328640 is 4682352672.

27625328640 is a `hidden beast` number, since 2 + 76 + 2 + 532 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 452874210 + ... + 452874270.

It is an arithmetic number, because the mean of its divisors is an integer number (99537032).

Almost surely, 2^27625328640 is an apocalyptic number.

27625328640 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 27625328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111107968).

27625328640 is an abundant number, since it is smaller than the sum of its proper divisors (96596887296).

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

27625328640 is an equidigital number, since it uses as much as digits as its factorization.

27625328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

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

The spelling of 27625328640 in words is "twenty-seven billion, six hundred twenty-five million, three hundred twenty-eight thousand, six hundred forty".