27660372480 has 800 divisors, whose sum is σ = 110465929728. Its totient is φ = 6569164800.

The previous prime is 27660372479. The next prime is 27660372517. The reversal of 27660372480 is 8427306672.

27660372480 is a `hidden beast` number, since 276 + 6 + 0 + 372 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83565915 + ... + 83566245.

Almost surely, 2^27660372480 is an apocalyptic number.

27660372480 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 27660372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55232964864).

27660372480 is an abundant number, since it is smaller than the sum of its proper divisors (82805557248).

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

27660372480 is a wasteful number, since it uses less digits than its factorization.

27660372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27660372480 in words is "twenty-seven billion, six hundred sixty million, three hundred seventy-two thousand, four hundred eighty".