273665664 has 96 divisors (see below), whose sum is σ = 829015200. Its totient is φ = 86413824.

The previous prime is 273665657. The next prime is 273665687. The reversal of 273665664 is 466566372.

273665664 is a `hidden beast` number, since 27 + 3 + 66 + 566 + 4 = 666.

273665664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15637 + ... + 28139.

It is an arithmetic number, because the mean of its divisors is an integer number (8635575).

Almost surely, 2^273665664 is an apocalyptic number.

273665664 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 273665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414507600).

273665664 is an abundant number, since it is smaller than the sum of its proper divisors (555349536).

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

273665664 is a wasteful number, since it uses less digits than its factorization.

273665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 12527 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 273665664 is about 16542.8432864487. The cubic root of 273665664 is about 649.2422443847.

The spelling of 273665664 in words is "two hundred seventy-three million, six hundred sixty-five thousand, six hundred sixty-four".