27352700064 has 144 divisors (see below), whose sum is σ = 78299066664. Its totient is φ = 9057484800.

The previous prime is 27352700009. The next prime is 27352700083. The reversal of 27352700064 is 46000725372.

It is a happy number.

27352700064 is a `hidden beast` number, since 2 + 73 + 527 + 0 + 0 + 0 + 64 = 666.

27352700064 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 6007490064 + 21345210000 = 77508^2 + 146100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27352700064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52500124 + ... + 52500644.

Almost surely, 2^27352700064 is an apocalyptic number.

27352700064 is a gapful number since it is divisible by the number (24) 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 27352700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39149533332).

27352700064 is an abundant number, since it is smaller than the sum of its proper divisors (50946366600).

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

27352700064 is a wasteful number, since it uses less digits than its factorization.

27352700064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 27352700064 in words is "twenty-seven billion, three hundred fifty-two million, seven hundred thousand, sixty-four".