668770560 has 288 divisors, whose sum is σ = 2442007680. Its totient is φ = 173187072.

The previous prime is 668770547. The next prime is 668770621. The reversal of 668770560 is 65077866.

668770560 is a `hidden beast` number, since 6 + 6 + 87 + 7 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1278459 + ... + 1278981.

Almost surely, 2^668770560 is an apocalyptic number.

668770560 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 668770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221003840).

668770560 is an abundant number, since it is smaller than the sum of its proper divisors (1773237120).

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

668770560 is a wasteful number, since it uses less digits than its factorization.

668770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 668770560 is about 25860.5986009605. The cubic root of 668770560 is about 874.4984597886.

The spelling of 668770560 in words is "six hundred sixty-eight million, seven hundred seventy thousand, five hundred sixty".