668774160 has 360 divisors, whose sum is σ = 2476341504. Its totient is φ = 161533440.

The previous prime is 668774153. The next prime is 668774173. The reversal of 668774160 is 61477866.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8057479 + ... + 8057561.

Almost surely, 2^668774160 is an apocalyptic number.

668774160 is a gapful number since it is divisible by the number (60) 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 668774160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

668774160 is an abundant number, since it is smaller than the sum of its proper divisors (1807567344).

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

668774160 is a wasteful number, since it uses less digits than its factorization.

668774160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 668774160 is about 25860.6682048241. The cubic root of 668774160 is about 874.5000289310.

The spelling of 668774160 in words is "six hundred sixty-eight million, seven hundred seventy-four thousand, one hundred sixty".