27147377664 has 352 divisors, whose sum is σ = 91543150080. Its totient is φ = 7866777600.

The previous prime is 27147377657. The next prime is 27147377689. The reversal of 27147377664 is 46677374172.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×27147377664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27147377664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993004 + ... + 6996884.

Almost surely, 2^27147377664 is an apocalyptic number.

27147377664 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 27147377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45771575040).

27147377664 is an abundant number, since it is smaller than the sum of its proper divisors (64395772416).

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

27147377664 is a wasteful number, since it uses less digits than its factorization.

27147377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3920 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The spelling of 27147377664 in words is "twenty-seven billion, one hundred forty-seven million, three hundred seventy-seven thousand, six hundred sixty-four".