27230247744 has 224 divisors, whose sum is σ = 85740678912. Its totient is φ = 7464960000.

The previous prime is 27230247739. The next prime is 27230247763. The reversal of 27230247744 is 44774203272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27230247696 and 27230247705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3357294 + ... + 3365394.

It is an arithmetic number, because the mean of its divisors is an integer number (382770888).

Almost surely, 2^27230247744 is an apocalyptic number.

27230247744 is a gapful number since it is divisible by the number (24) 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 27230247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42870339456).

27230247744 is an abundant number, since it is smaller than the sum of its proper divisors (58510431168).

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

27230247744 is a wasteful number, since it uses less digits than its factorization.

27230247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 27230247744 in words is "twenty-seven billion, two hundred thirty million, two hundred forty-seven thousand, seven hundred forty-four".