27534716640 has 192 divisors, whose sum is σ = 97810917120. Its totient is φ = 7232924160.

The previous prime is 27534716633. The next prime is 27534716641. The reversal of 27534716640 is 4661743572.

27534716640 is a `hidden beast` number, since 2 + 7 + 534 + 71 + 6 + 6 + 40 = 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 (27534716641) 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 31 ways as a sum of consecutive naturals, for example, 241875 + ... + 337005.

It is an arithmetic number, because the mean of its divisors is an integer number (509431860).

Almost surely, 2^27534716640 is an apocalyptic number.

27534716640 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 27534716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48905458560).

27534716640 is an abundant number, since it is smaller than the sum of its proper divisors (70276200480).

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

27534716640 is a wasteful number, since it uses less digits than its factorization.

27534716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95222 (or 95208 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27534716640 in words is "twenty-seven billion, five hundred thirty-four million, seven hundred sixteen thousand, six hundred forty".