27364212480 has 288 divisors, whose sum is σ = 96108945408. Its totient is φ = 6580224000.

The previous prime is 27364212437. The next prime is 27364212527. The reversal of 27364212480 is 8421246372.

It is a happy number.

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, 5361930 + ... + 5367030.

It is an arithmetic number, because the mean of its divisors is an integer number (333711616).

Almost surely, 2^27364212480 is an apocalyptic number.

27364212480 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 27364212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054472704).

27364212480 is an abundant number, since it is smaller than the sum of its proper divisors (68744732928).

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

27364212480 is a wasteful number, since it uses less digits than its factorization.

27364212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 27364212480 in words is "twenty-seven billion, three hundred sixty-four million, two hundred twelve thousand, four hundred eighty".