27664745460 has 432 divisors, whose sum is σ = 92481637248. Its totient is φ = 6162365440.

The previous prime is 27664745443. The next prime is 27664745477. The reversal of 27664745460 is 6454746672.

It is an interprime number because it is at equal distance from previous prime (27664745443) and next prime (27664745477).

It is a super-2 number, since 2×27664745460² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140430082 + ... + 140430278.

It is an arithmetic number, because the mean of its divisors is an integer number (214077864).

Almost surely, 2^27664745460 is an apocalyptic number.

27664745460 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 27664745460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46240818624).

27664745460 is an abundant number, since it is smaller than the sum of its proper divisors (64816891788).

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

27664745460 is a wasteful number, since it uses less digits than its factorization.

27664745460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 27664745460 in words is "twenty-seven billion, six hundred sixty-four million, seven hundred forty-five thousand, four hundred sixty".