27404674560 has 960 divisors, whose sum is σ = 108284926464. Its totient is φ = 6370099200.

The previous prime is 27404674541. The next prime is 27404674603. The reversal of 27404674560 is 6547640472.

27404674560 is a `hidden beast` number, since 2 + 7 + 40 + 46 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×27404674560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449256930 + ... + 449256990.

Almost surely, 2^27404674560 is an apocalyptic number.

27404674560 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 27404674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54142463232).

27404674560 is an abundant number, since it is smaller than the sum of its proper divisors (80880251904).

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

27404674560 is a wasteful number, since it uses less digits than its factorization.

27404674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27404674560 in words is "twenty-seven billion, four hundred four million, six hundred seventy-four thousand, five hundred sixty".