27670483440 has 320 divisors, whose sum is σ = 100793548800. Its totient is φ = 6965913600.

The previous prime is 27670483433. The next prime is 27670483459. The reversal of 27670483440 is 4438407672.

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, 2740321 + ... + 2750399.

It is an arithmetic number, because the mean of its divisors is an integer number (314979840).

Almost surely, 2^27670483440 is an apocalyptic number.

27670483440 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 27670483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50396774400).

27670483440 is an abundant number, since it is smaller than the sum of its proper divisors (73123065360).

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

27670483440 is a wasteful number, since it uses less digits than its factorization.

27670483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27670483440 in words is "twenty-seven billion, six hundred seventy million, four hundred eighty-three thousand, four hundred forty".