27730736460 has 144 divisors (see below), whose sum is σ = 96425102592. Its totient is φ = 6319209600.

The previous prime is 27730736419. The next prime is 27730736461. The reversal of 27730736460 is 6463703772.

27730736460 is a `hidden beast` number, since 277 + 307 + 36 + 46 + 0 = 666.

It is a super-2 number, since 2×27730736460² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27730736461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383815 + ... + 450305.

It is an arithmetic number, because the mean of its divisors is an integer number (669618768).

Almost surely, 2^27730736460 is an apocalyptic number.

27730736460 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 27730736460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48212551296).

27730736460 is an abundant number, since it is smaller than the sum of its proper divisors (68694366132).

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

27730736460 is a wasteful number, since it uses less digits than its factorization.

27730736460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66844 (or 66839 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 27730736460 in words is "twenty-seven billion, seven hundred thirty million, seven hundred thirty-six thousand, four hundred sixty".