27434652480 has 224 divisors, whose sum is σ = 97148782080. Its totient is φ = 7288289280.

The previous prime is 27434652473. The next prime is 27434652481. The reversal of 27434652480 is 8425643472.

It is a happy number.

27434652480 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 46 + 524 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27434652481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335582 + ... + 2347298.

It is an arithmetic number, because the mean of its divisors is an integer number (433699920).

Almost surely, 2^27434652480 is an apocalyptic number.

27434652480 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 27434652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48574391040).

27434652480 is an abundant number, since it is smaller than the sum of its proper divisors (69714129600).

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

27434652480 is a wasteful number, since it uses less digits than its factorization.

27434652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 27434652480 in words is "twenty-seven billion, four hundred thirty-four million, six hundred fifty-two thousand, four hundred eighty".