27264269340 has 648 divisors, whose sum is σ = 107785445040. Its totient is φ = 5556418560.

The previous prime is 27264269327. The next prime is 27264269341. The reversal of 27264269340 is 4396246272.

27264269340 is a `hidden beast` number, since 27 + 26 + 4 + 269 + 340 = 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 (27264269341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 62965764 + ... + 62966196.

Almost surely, 2^27264269340 is an apocalyptic number.

27264269340 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 27264269340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892722520).

27264269340 is an abundant number, since it is smaller than the sum of its proper divisors (80521175700).

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

27264269340 is a wasteful number, since it uses less digits than its factorization.

27264269340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 27264269340 in words is "twenty-seven billion, two hundred sixty-four million, two hundred sixty-nine thousand, three hundred forty".